Is 400,890 a Prime Number?
No, 400,890 is not a prime number
Number Properties
- Value:400,890
- Number Type:Even, Positive
- Digit Sum:21
- Total Digits:6
- Binary:1100001110111111010
- Hexadecimal:61DFA
Prime Status
400,890 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
2 × 3 × 5 × 7 × 23 × 83
Divisors
Total divisors: 64
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 23, 30, 35, 42, 46, 69, 70, 83, 105, 115, 138, 161, 166, 210, 230, 249, 322, 345, 415, 483, 498, 581, 690, 805, 830, 966, 1162, 1245, 1610, 1743, 1909, 2415, 2490, 2905, 3486, 3818, 4830, 5727, 5810, 8715, 9545, 11454, 13363, 17430, 19090, 26726, 28635, 40089, 57270, 66815, 80178, 133630, 200445, 400890
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.