The number 61272
61272 is a composite number with 48 divisors. Its prime factorisation is × × 23 × 37. Divisors (48): 1, 2, 3, 4, 6, 8, 9, 12, 18, 23, 24, 36, 37, 46, 69, 72 … 61272.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 61272: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
61272 is composite. Its prime factorisation is
- 3
The divisors add up to 177840; without 61272 itself that is 116568, so 61272 is abundant (116568 is more than 61272). Euler's totient φ(61272) = 19008 numbers up to 61272 share no factor with it.
- 4
The digits of 61272 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 179 steps to reach 1.
LaTeX source of the formulas on this page
\[ 61272 = 2^{3} \times 3^{2} \times 23 \times 37 \]61272 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 177840 |
| Euler totient φ(n) | 19008 |
| Square | 3754257984 |
| Cube | 230030895195648 |
| Square root | 247.531816 (= 6√1702) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 179 |
| Scientific notation | 6.1272 × |
61272 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand two hundred and seventy-two |
| Binary (base 2) | 1110111101011000 |
| Octal (base 8) | 167530 |
| Hexadecimal (base 16) | EF58 |
| Base 3 | 10010001100 |
| As time | 61272 seconds = 17 h 1 min 12 s |
Is 61272 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (61272 ÷ 2 = 30636) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (61272 ÷ 3 = 20424) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (61272 ÷ 4 = 15318) | 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 (61272 ÷ 6 = 10212) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 (61272 ÷ 8 = 7659) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (61272 ÷ 9 = 6808) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (61272 ÷ 12 = 5106) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 61272 a prime number?
No. 61272 = × × 23 × 37, so it is divisible by 2.
What are the factors of 61272?
1, 2, 3, 4, 6, 8, 9, 12, 18, 23, 24, 36, 37, 46, 69, 72, 74, 92, 111, 138, 148, 184, 207, 222, 276, 296, 333, 414, 444, 552, 666, 828, 851, 888, 1332, 1656, 1702, 2553, 2664, 3404, 5106, 6808, 7659, 10212, 15318, 20424, 30636, 61272.
What is 61272 in binary?
1110111101011000 (hexadecimal EF58, octal 167530).
What is the square root of 61272?
About 247.5318, exactly 6√1702.
Is 61272 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 61272?
61272 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.