The number 31416

Q: Is 31416 a prime number?

No. 31416 = 2^3 × 3 × 7 × 11 × 17, so it is divisible by 2.

31416 is a composite number with 64 divisors. Its prime factorisation is $2^{3}$ × 3 × 7 × 11 × 17. Divisors (64): 1, 2, 3, 4, 6, 7, 8, 11, 12, 14, 17, 21, 22, 24, 28, 33 … 31416.

Number

Pick any whole number from 1 to 100,000.

31416 = 2^{3} \times 3 \times 7 \times 11 \times 17

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How to work it out

1
31416 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
2
31416 is composite. Its prime factorisation is
$31416 = 2^{3} \times 3 \times 7 \times 11 \times 17$
3
The divisors add up to 103680; without 31416 itself that is 72264, so 31416 is abundant (72264 is more than 31416). Euler's totient φ(31416) = 7680 numbers up to 31416 share no factor with it.
4
The digits of 31416 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 85 steps to reach 1.

LaTeX source of the formulas on this page

\[ 31416 = 2^{3} \times 3 \times 7 \times 11 \times 17 \]

31416 at a glance

Property	Value
Type	composite
Number of divisors	64
Sum of divisors	103680
Euler totient φ(n)	7680
Square	986965056
Cube	31006494199296
Square root	177.245592 (= 2√7854)
Digit sum / digital root	15 / 6
Collatz steps to 1	85
Scientific notation	3.1416 × $10^{4}$

31416 in other forms

Form	Value
In words	thirty-one thousand four hundred and sixteen
Binary (base 2)	111101010111000
Octal (base 8)	75270
Hexadecimal (base 16)	7AB8
Base 3	1121002120
As time	31416 seconds = 8 h 43 min 36 s

Is 31416 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (31416 ÷ 2 = 15708)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (31416 ÷ 3 = 10472)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (31416 ÷ 4 = 7854)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	No (remainder 1)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (31416 ÷ 6 = 5236)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	Yes (31416 ÷ 7 = 4488)	A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7.
8	Yes (31416 ÷ 8 = 3927)	A number is divisible by 8 if the last three digits make a multiple of 8.
9	No (remainder 6)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	No (remainder 6)	A number is divisible by 10 if the last digit is 0.
11	Yes (31416 ÷ 11 = 2856)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (31416 ÷ 12 = 2618)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 31416 a prime number?

No. 31416 = $2^{3}$ × 3 × 7 × 11 × 17, so it is divisible by 2.

What are the factors of 31416?

1, 2, 3, 4, 6, 7, 8, 11, 12, 14, 17, 21, 22, 24, 28, 33, 34, 42, 44, 51, 56, 66, 68, 77, 84, 88, 102, 119, 132, 136, 154, 168, 187, 204, 231, 238, 264, 308, 357, 374, 408, 462, 476, 561, 616, 714, 748, 924, 952, 1122, 1309, 1428, 1496, 1848, 2244, 2618, 2856, 3927, 4488, 5236, 7854, 10472, 15708, 31416.

What is 31416 in binary?

111101010111000 (hexadecimal 7AB8, octal 75270).

What is the square root of 31416?

About 177.2456, exactly 2√7854.

Is 31416 divisible by 3?

Yes. Its digits add up to 15, a multiple of 3.

What is special about the number 31416?

It is a composite number with 64 divisors.