The number 88972
88972 is a composite number with 24 divisors. Its prime factorisation is × 13 × 29 × 59. Divisors (24): 1, 2, 4, 13, 26, 29, 52, 58, 59, 116, 118, 236, 377, 754, 767, 1508 … 88972.
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How to work it out
- 1
What is special about 88972: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
88972 is composite. Its prime factorisation is
- 3
The divisors add up to 176400; without 88972 itself that is 87428, so 88972 is deficient (87428 is less than 88972). Euler's totient φ(88972) = 38976 numbers up to 88972 share no factor with it.
- 4
The digits of 88972 add up to 34, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 133 steps to reach 1.
LaTeX source of the formulas on this page
\[ 88972 = 2^{2} \times 13 \times 29 \times 59 \]88972 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 176400 |
| Euler totient φ(n) | 38976 |
| Square | 7916016784 |
| Cube | 704303845306048 |
| Square root | 298.281746 (= 2√22243) |
| Digit sum / digital root | 34 / 7 |
| Collatz steps to 1 | 133 |
| Scientific notation | 8.8972 × |
88972 in other forms
| Form | Value |
|---|---|
| In words | eighty-eight thousand nine hundred and seventy-two |
| Binary (base 2) | 10101101110001100 |
| Octal (base 8) | 255614 |
| Hexadecimal (base 16) | 15B8C |
| Base 3 | 11112001021 |
| As time | 88972 seconds = 24 h 42 min 52 s |
Is 88972 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (88972 ÷ 2 = 44486) | 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 (88972 ÷ 4 = 22243) | 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 7) | 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 4) | 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 88972 a prime number?
No. 88972 = × 13 × 29 × 59, so it is divisible by 2.
What are the factors of 88972?
1, 2, 4, 13, 26, 29, 52, 58, 59, 116, 118, 236, 377, 754, 767, 1508, 1534, 1711, 3068, 3422, 6844, 22243, 44486, 88972.
What is 88972 in binary?
10101101110001100 (hexadecimal 15B8C, octal 255614).
What is the square root of 88972?
About 298.2817, exactly 2√22243.
Is 88972 divisible by 3?
No. Its digits add up to 34, which is not a multiple of 3.
What is special about the number 88972?
88972 is a happy number: repeatedly adding the squares of its digits reaches 1.