Is 3,455,520 a Prime Number?
No, 3,455,520 is not a prime number
Number Properties
- Value:3,455,520
- Number Type:Even, Positive
- Digit Sum:24
- Total Digits:7
- Binary:1101001011101000100000
- Hexadecimal:34BA20
Prime Status
3,455,520 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
25 × 3 × 5 × 23 × 313
Divisors
Total divisors: 96
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 23, 24, 30, 32, 40, 46, 48, 60, 69, 80, 92, 96, 115, 120, 138, 160, 184, 230, 240, 276, 313, 345, 368, 460, 480, 552, 626, 690, 736, 920, 939, 1104, 1252, 1380, 1565, 1840, 1878, 2208, 2504, 2760, 3130, 3680, 3756, 4695, 5008, 5520, 6260, 7199, 7512, 9390, 10016, 11040, 12520, 14398, 15024, 18780, 21597, 25040, 28796, 30048, 35995, 37560, 43194, 50080, 57592, 71990, 75120, 86388, 107985, 115184, 143980, 150240, 172776, 215970, 230368, 287960, 345552, 431940, 575920, 691104, 863880, 1151840, 1727760, 3455520
Explore Nearby Primes
Understanding Prime Numbers
A prime number is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers. In other words, it has exactly two distinct positive divisors: 1 and itself.
Properties of Prime Numbers
- Every prime number except 2 is odd
- 2 is the only even prime number
- Prime numbers are infinitely many
- Prime numbers become less frequent as they get larger
- The distribution of primes follows patterns studied in number theory
Importance of Prime Numbers
- Foundation of number theory and pure mathematics
- Essential in cryptography and internet security
- Used in hash functions and random number generation
- Applied in error correction codes and data compression
- Helping solve complex problems in computer science
The first few prime numbers are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, ...
The Fundamental Theorem of Arithmetic states that every integer greater than 1 can be represented uniquely as a product of prime numbers, making primes the "building blocks" of all natural numbers.