Properties of the Number 42971

Forty-Two Thousand Nine Hundred Seventy-One

Basics

Value: 42970 → 42971 → 42972

Parity: odd

Prime: No

Previous Prime: 42967

Next Prime: 42979

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 97 × 443

Divisors: 1, 97, 443, 42971

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010011111011011

Octal: 123733

Duodecimal: 20A4B

Hexadecimal: a7db

Square: 1846506841

Square Root: 207.2944765303697

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

The number of irreducible zero-sum subsets of T(n) = {-2·n+1, -2·n+3, ..., -3, -1, 1, 3, ..., 2·n-3, 2·n-1} that contain -2·n+1 but not 2·n-1. A390083

Triangle, read by rows, where the k-th column equals the k-th self-composition of column 1 (A120567) for k>=0, such that row sums equal column 1. A120568

G.f. A(x) satisfies: [x^n-1] (1+x)^n*(n-1) / A(x)ⁿ = 0 for n>1. A303061

a(n) = (C(2n, n)/2 - (2^n-1 + ((n+1) mod 2)*C(n-1, n/2-1)))/2. A42971

Continued fraction expansion of a constant r such that the odd-indexed bisection equals the continued fraction of 2·r, with an even-indexed bisection of all 2's. A322728