Properties of the Number 42313

Forty-Two Thousand Three Hundred Thirteen

Basics

Value: 42312 → 42313 → 42314

Parity: odd

Prime: No

Previous Prime: 42307

Next Prime: 42323

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 17 × 19 × 131

Divisors: 1, 17, 19, 131, 323, 2227, 2489, 42313

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010010101001001

Octal: 122511

Duodecimal: 205A1

Hexadecimal: a549

Square: 1790389969

Square Root: 205.70123966568602

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

T(n,k)=Number of (n+3)X(k+3) 0..2 arrays with every 4X4 subblock commuting with each horizontal and vertical neighbor 4X4 subblock. A186589

a(n) = (2·n³ + 5·n² + 7·n)/2. A162264

G.f. satisfies A(x) = exp( ∑_k>=1 (-1)^k+1 * (3^k + A(x^k)) * x^k/k ). A363543

Number of (n+3) X 5 0..2 arrays with every 4 X 4 subblock commuting with each horizontal and vertical neighbor 4 X 4 subblock. A186582

Number of (n+3)X8 0..2 arrays with every 4X4 subblock commuting with each horizontal and vertical neighbor 4X4 subblock. A186585

Number of 2Xn 0..1 arrays with row sums nondecreasing and column sums unimodal. A223626

Number of n X n binary arrays with all ones connected only in a 2X3 U in any orientation. A146054

Number of n X n binary arrays symmetric under horizontal and vertical reflection with all ones connected only in a 2X3 U in any orientation. A146056

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 1, -1), (-1, 1, 0), (1, -1, -1), (1, 1, 1)}. A149524

The n-th term of n-th inverse binomial transform of this sequence is 1 for n>=0. A138911