The number 3477
3477 is a composite number with 8 divisors. Its prime factorisation is 3 × 19 × 61. Divisors (8): 1, 3, 19, 57, 61, 183, 1159, 3477.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3477 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3477 is composite. Its prime factorisation is
- 3
The divisors add up to 4960; without 3477 itself that is 1483, so 3477 is deficient (1483 is less than 3477). Euler's totient φ(3477) = 2160 numbers up to 3477 share no factor with it.
- 4
The digits of 3477 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 30 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3477 = 3 \times 19 \times 61 \]
3477 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 4960 |
| Euler totient φ(n) | 2160 |
| Square | 12089529 |
| Cube | 42035292333 |
| Square root | 58.966092 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 30 |
| Scientific notation | 3.477 × |
3477 in other forms
| Form | Value |
|---|---|
| In words | three thousand four hundred and seventy-seven |
| Roman numerals | MMMCDLXXVII |
| Binary (base 2) | 110110010101 |
| Octal (base 8) | 6625 |
| Hexadecimal (base 16) | D95 |
| Base 3 | 11202210 |
| As time | 3477 seconds = 57 min 57 s |
Is 3477 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 | Yes (3477 ÷ 3 = 1159) | 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 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3477 a prime number?
No. 3477 = 3 × 19 × 61, so it is divisible by 3.
What are the factors of 3477?
1, 3, 19, 57, 61, 183, 1159, 3477.
What is 3477 in binary?
110110010101 (hexadecimal D95, octal 6625).
What is the square root of 3477?
About 58.9661.
What is 3477 in Roman numerals?
MMMCDLXXVII.
Is 3477 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 3477?
It is a composite number with 8 divisors.