The number 1612
1612 is a composite number with 12 divisors. Its prime factorisation is × 13 × 31. Divisors (12): 1, 2, 4, 13, 26, 31, 52, 62, 124, 403, 806, 1612.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1612 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1612 is composite. Its prime factorisation is
- 3
The divisors add up to 3136; without 1612 itself that is 1524, so 1612 is deficient (1524 is less than 1612). Euler's totient φ(1612) = 720 numbers up to 1612 share no factor with it.
- 4
The digits of 1612 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 21 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1612 = 2^{2} \times 13 \times 31 \]1612 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 3136 |
| Euler totient φ(n) | 720 |
| Square | 2598544 |
| Cube | 4188852928 |
| Square root | 40.149720 (= 2√403) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 21 |
| Scientific notation | 1.612 × |
1612 in other forms
| Form | Value |
|---|---|
| In words | one thousand six hundred and twelve |
| Roman numerals | MDCXII |
| Binary (base 2) | 11001001100 |
| Octal (base 8) | 3114 |
| Hexadecimal (base 16) | 64C |
| Base 3 | 2012201 |
| As time | 1612 seconds = 26 min 52 s |
Is 1612 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1612 ÷ 2 = 806) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (1612 ÷ 4 = 403) | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1612 a prime number?
No. 1612 = × 13 × 31, so it is divisible by 2.
What are the factors of 1612?
1, 2, 4, 13, 26, 31, 52, 62, 124, 403, 806, 1612.
What is 1612 in binary?
11001001100 (hexadecimal 64C, octal 3114).
What is the square root of 1612?
About 40.1497, exactly 2√403.
What is 1612 in Roman numerals?
MDCXII.
Is 1612 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 1612?
It is a composite number with 12 divisors.