Properties of the Number 31742

Thirty-One Thousand Seven Hundred Forty-Two

Basics

Value: 31741 → 31742 → 31743

Parity: even

Prime: No

Previous Prime: 31741

Next Prime: 31751

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 × 59 × 269

Divisors: 1, 2, 59, 118, 269, 538, 15871, 31742

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111101111111110

Octal: 75776

Duodecimal: 16452

Hexadecimal: 7bfe

Square: 1007554564

Square Root: 178.16284685646443

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 T(n,k) of endofunctions on [n] with cycles of k distinct lengths; triangle T(n,k), n>=0, 0<=k<=A003056(n), read by rows. A242027

Number of partitions p = [x(1), ..., x(k)], where x(1) >= x(2) >= ... >= x(k), of n such that max(x(i) - x(i-1)) > number of parts of p. A241832

Number of endofunctions on [n] where all cycle lengths are equal. A241980

Number of ordered triples (w,x,y) with all terms in {-n,...-1,1,...,n} and w+2x+3y>0. A211621

Triangle read by rows: T(m,n) is the number of Hamiltonian cycles on m X n torus where each step goes north or east or northeast; 2 <= n <= m. A391478

Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 64. A31742

Numerators of continued fraction convergents to sqrt(465). A41886

Denominators of continued fraction convergents to sqrt(465). A41887