Properties of the Number 19257

Nineteen Thousand Two Hundred Fifty-Seven

Basics

Value: 19256 → 19257 → 19258

Parity: odd

Prime: No

Previous Prime: 19249

Next Prime: 19259

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 7 ² × 131

Divisors: 1, 3, 7, 21, 49, 131, 147, 393, 917, 2751

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100101100111001

Octal: 45471

Duodecimal: B189

Hexadecimal: 4b39

Square: 370832049

Square Root: 138.76959321119307

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Number of multisets of nonempty words with a total of n letters over n-ary alphabet such that within each prefix of a word every letter of the alphabet is at least as frequent as the subsequent alphabet letter. A293110

Number of partitions of an n-set without blocks of size 5. A343665

a(1)=1, a(2)=2; for n >= 2, a(n+1) = a(n) + sum of prime factors of a(n). A96461

a(n) = (n-1)*(n-2)³ - A003878(n-3), with a(1) = a(2) = 0 and a(3) = 2. A75681

Number of multisets of nonempty words with a total of n letters over denary alphabet such that within each prefix of a word every letter of the alphabet is at least as frequent as the subsequent alphabet letter. A293740

Sums of 3 distinct powers of 7. A38482

Indices of primes in sequence defined by A(0) = 11, A(n) = 10·A(n-1) + 71 for n > 0. A56249

a(n+1) is the sum of a(n) and the prime factors of a(n), counted with multiplicity. Start with a(0) = 3. A192896

Number of strings of numbers x(i=1..n) in 0..7 with sum i·x(i)² equal to n·49. A184439

Number of strings of numbers x(i=1..8) in 0..n with sum i·x(i)² equal to n·64. A184447