The number 87949
87949 is a composite number with 4 divisors. Its prime factorisation is 37 × 2377. Divisors (4): 1, 37, 2377, 87949.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 87949: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 37; a semiprime: 37 × 2377, the product of two primes.
- 2
87949 is composite. Its prime factorisation is
- 3
The divisors add up to 90364; without 87949 itself that is 2415, so 87949 is deficient (2415 is less than 87949). Euler's totient φ(87949) = 85536 numbers up to 87949 share no factor with it.
- 4
The digits of 87949 add up to 37, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 133 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87949 = 37 \times 2377 \]
87949 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 90364 |
| Euler totient φ(n) | 85536 |
| Square | 7735026601 |
| Cube | 680287854531349 |
| Square root | 296.561967 |
| Digit sum / digital root | 37 / 1 |
| Collatz steps to 1 | 133 |
| Scientific notation | 8.7949 × |
87949 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand nine hundred and forty-nine |
| Binary (base 2) | 10101011110001101 |
| Octal (base 8) | 253615 |
| Hexadecimal (base 16) | 1578D |
| Base 3 | 11110122101 |
| As time | 87949 seconds = 24 h 25 min 49 s |
Is 87949 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | 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 | No (remainder 5) | 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 9) | 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 87949 a prime number?
No. 87949 = 37 × 2377, so it is divisible by 37.
What are the factors of 87949?
1, 37, 2377, 87949.
What is 87949 in binary?
10101011110001101 (hexadecimal 1578D, octal 253615).
What is the square root of 87949?
About 296.5620.
Is 87949 divisible by 3?
No. Its digits add up to 37, which is not a multiple of 3.
What is special about the number 87949?
87949 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 37; a semiprime: 37 × 2377, the product of two primes.