The number 61372
61372 is a composite number with 12 divisors. Its prime factorisation is × 67 × 229. Divisors (12): 1, 2, 4, 67, 134, 229, 268, 458, 916, 15343, 30686, 61372.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
61372 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
61372 is composite. Its prime factorisation is
- 3
The divisors add up to 109480; without 61372 itself that is 48108, so 61372 is deficient (48108 is less than 61372). Euler's totient φ(61372) = 30096 numbers up to 61372 share no factor with it.
- 4
The digits of 61372 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.
LaTeX source of the formulas on this page
\[ 61372 = 2^{2} \times 67 \times 229 \]61372 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 109480 |
| Euler totient φ(n) | 30096 |
| Square | 3766522384 |
| Cube | 231159011750848 |
| Square root | 247.733728 (= 2√15343) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 73 |
| Scientific notation | 6.1372 × |
61372 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand three hundred and seventy-two |
| Binary (base 2) | 1110111110111100 |
| Octal (base 8) | 167674 |
| Hexadecimal (base 16) | EFBC |
| Base 3 | 10010012001 |
| As time | 61372 seconds = 17 h 2 min 52 s |
Is 61372 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (61372 ÷ 2 = 30686) | 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 (61372 ÷ 4 = 15343) | 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 3) | 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 3) | 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 61372 a prime number?
No. 61372 = × 67 × 229, so it is divisible by 2.
What are the factors of 61372?
1, 2, 4, 67, 134, 229, 268, 458, 916, 15343, 30686, 61372.
What is 61372 in binary?
1110111110111100 (hexadecimal EFBC, octal 167674).
What is the square root of 61372?
About 247.7337, exactly 2√15343.
Is 61372 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 61372?
It is a composite number with 12 divisors.