Properties of the Number 42351

Forty-Two Thousand Three Hundred Fifty-One

Basics

Value: 42350 → 42351 → 42352

Parity: odd

Prime: No

Previous Prime: 42349

Next Prime: 42359

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 19 × 743

Divisors: 1, 3, 19, 57, 743, 2229, 14117, 42351

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010010101101111

Octal: 122557

Duodecimal: 20613

Hexadecimal: a56f

Square: 1793607201

Square Root: 205.79358590587802

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

a(0) = 1; for n > 0, a(n) = b(n) - n·b(n-1), b() = A076177(). A92255

Decimal encoding T(n,k) of the k-th non-averaging permutation of [n]; triangle T(n,k), n >= 0, k = 1..A003407(n), read by rows. A292523

a(n) = n*(n - 1)*(2·n² + n + 2)/6. A71246

Number of permutations in S_n that avoid the pattern 42351. A256200

Number of n-color perfect compositions of n. A330774

Expansion of (1-x-2x²+sqrt(1-2x-3x²))/(2*(1-2x-3x²)). A116410

Number of permutations avoiding the consecutive pattern 42351. A202224

Number of (n+1)X7 0..3 arrays with every 2X2 subblock having nonzero determinant and commuting with every horizontal or vertical neighbor. A206341

Multiplicity of highest weight (or singular) vectors associated with character chi₆₄ of Monster module. A34452

Number T(n,k) of permutations of [n] with exactly k (possibly overlapping) occurrences of the generalized pattern 23-1; triangle T(n,k), n>=0, 0<=k<=A125811(n)-1, read by rows. A260670