The number 75402
75402 is a composite number with 24 divisors. Its prime factorisation is 2 × × 59 × 71. Divisors (24): 1, 2, 3, 6, 9, 18, 59, 71, 118, 142, 177, 213, 354, 426, 531, 639 … 75402.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 75402: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
75402 is composite. Its prime factorisation is
- 3
The divisors add up to 168480; without 75402 itself that is 93078, so 75402 is abundant (93078 is more than 75402). Euler's totient φ(75402) = 24360 numbers up to 75402 share no factor with it.
- 4
The digits of 75402 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 156 steps to reach 1.
LaTeX source of the formulas on this page
\[ 75402 = 2 \times 3^{2} \times 59 \times 71 \]75402 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 168480 |
| Euler totient φ(n) | 24360 |
| Square | 5685461604 |
| Cube | 428695175864808 |
| Square root | 274.594246 (= 3√8378) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 156 |
| Scientific notation | 7.5402 × |
75402 in other forms
| Form | Value |
|---|---|
| In words | seventy-five thousand four hundred and two |
| Binary (base 2) | 10010011010001010 |
| Octal (base 8) | 223212 |
| Hexadecimal (base 16) | 1268A |
| Base 3 | 10211102200 |
| As time | 75402 seconds = 20 h 56 min 42 s |
Is 75402 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (75402 ÷ 2 = 37701) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (75402 ÷ 3 = 25134) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 (75402 ÷ 6 = 12567) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (75402 ÷ 9 = 8378) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 75402 a prime number?
No. 75402 = 2 × × 59 × 71, so it is divisible by 2.
What are the factors of 75402?
1, 2, 3, 6, 9, 18, 59, 71, 118, 142, 177, 213, 354, 426, 531, 639, 1062, 1278, 4189, 8378, 12567, 25134, 37701, 75402.
What is 75402 in binary?
10010011010001010 (hexadecimal 1268A, octal 223212).
What is the square root of 75402?
About 274.5942, exactly 3√8378.
Is 75402 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 75402?
75402 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.