The number 59472

Q: Is 59472 a prime number?

No. 59472 = 2^4 × 3^2 × 7 × 59, so it is divisible by 2.

59472 is a composite number with 60 divisors. Its prime factorisation is $2^{4}$ × $3^{2}$ × 7 × 59. Divisors (60): 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 36 … 59472.

Number

Pick any whole number from 1 to 100,000.

59472 = 2^{4} \times 3^{2} \times 7 \times 59

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How to work it out

1
59472 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
2
59472 is composite. Its prime factorisation is
$59472 = 2^{4} \times 3^{2} \times 7 \times 59$
3
The divisors add up to 193440; without 59472 itself that is 133968, so 59472 is abundant (133968 is more than 59472). Euler's totient φ(59472) = 16704 numbers up to 59472 share no factor with it.
4
The digits of 59472 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 135 steps to reach 1.

LaTeX source of the formulas on this page

\[ 59472 = 2^{4} \times 3^{2} \times 7 \times 59 \]

59472 at a glance

Property	Value
Type	composite
Number of divisors	60
Sum of divisors	193440
Euler totient φ(n)	16704
Square	3536918784
Cube	210347633922048
Square root	243.868817 (= 12√413)
Digit sum / digital root	27 / 9
Collatz steps to 1	135
Scientific notation	5.9472 × $10^{4}$

59472 in other forms

Form	Value
In words	fifty-nine thousand four hundred and seventy-two
Binary (base 2)	1110100001010000
Octal (base 8)	164120
Hexadecimal (base 16)	E850
Base 3	10000120200
As time	59472 seconds = 16 h 31 min 12 s

Is 59472 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (59472 ÷ 2 = 29736)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (59472 ÷ 3 = 19824)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (59472 ÷ 4 = 14868)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	No (remainder 2)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (59472 ÷ 6 = 9912)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	Yes (59472 ÷ 7 = 8496)	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 (59472 ÷ 8 = 7434)	A number is divisible by 8 if the last three digits make a multiple of 8.
9	Yes (59472 ÷ 9 = 6608)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	No (remainder 2)	A number is divisible by 10 if the last digit is 0.
11	No (remainder 6)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (59472 ÷ 12 = 4956)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 59472 a prime number?

No. 59472 = $2^{4}$ × $3^{2}$ × 7 × 59, so it is divisible by 2.

What are the factors of 59472?

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 36, 42, 48, 56, 59, 63, 72, 84, 112, 118, 126, 144, 168, 177, 236, 252, 336, 354, 413, 472, 504, 531, 708, 826, 944, 1008, 1062, 1239, 1416, 1652, 2124, 2478, 2832, 3304, 3717, 4248, 4956, 6608, 7434, 8496, 9912, 14868, 19824, 29736, 59472.

What is 59472 in binary?

1110100001010000 (hexadecimal E850, octal 164120).

What is the square root of 59472?

About 243.8688, exactly 12√413.

Is 59472 divisible by 3?

Yes. Its digits add up to 27, a multiple of 3.

What is special about the number 59472?

It is a composite number with 60 divisors.