The number 87472
87472 is a composite number with 40 divisors. Its prime factorisation is × 7 × 11 × 71. Divisors (40): 1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 44, 56, 71, 77, 88, 112 … 87472.
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How to work it out
- 1
What is special about 87472: a Harshad number: divisible by its digit sum 28.
- 2
87472 is composite. Its prime factorisation is
- 3
The divisors add up to 214272; without 87472 itself that is 126800, so 87472 is abundant (126800 is more than 87472). Euler's totient φ(87472) = 33600 numbers up to 87472 share no factor with it.
- 4
The digits of 87472 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 120 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87472 = 2^{4} \times 7 \times 11 \times 71 \]87472 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 214272 |
| Euler totient φ(n) | 33600 |
| Square | 7651350784 |
| Cube | 669278955778048 |
| Square root | 295.756657 (= 4√5467) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 120 |
| Scientific notation | 8.7472 × |
87472 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand four hundred and seventy-two |
| Binary (base 2) | 10101010110110000 |
| Octal (base 8) | 252660 |
| Hexadecimal (base 16) | 155B0 |
| Base 3 | 11102222201 |
| As time | 87472 seconds = 24 h 17 min 52 s |
Is 87472 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (87472 ÷ 2 = 43736) | 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 (87472 ÷ 4 = 21868) | 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 | Yes (87472 ÷ 7 = 12496) | 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 (87472 ÷ 8 = 10934) | 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 | Yes (87472 ÷ 11 = 7952) | 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 87472 a prime number?
No. 87472 = × 7 × 11 × 71, so it is divisible by 2.
What are the factors of 87472?
1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 44, 56, 71, 77, 88, 112, 142, 154, 176, 284, 308, 497, 568, 616, 781, 994, 1136, 1232, 1562, 1988, 3124, 3976, 5467, 6248, 7952, 10934, 12496, 21868, 43736, 87472.
What is 87472 in binary?
10101010110110000 (hexadecimal 155B0, octal 252660).
What is the square root of 87472?
About 295.7567, exactly 4√5467.
Is 87472 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 87472?
87472 is a Harshad number: divisible by its digit sum 28.