Properties of the Number 42671

Forty-Two Thousand Six Hundred Seventy-One

Basics

Value: 42670 → 42671 → 42672

Parity: odd

Prime: No

Previous Prime: 42667

Next Prime: 42677

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 71 × 601

Divisors: 1, 71, 601, 42671

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010011010101111

Octal: 123257

Duodecimal: 2083B

Hexadecimal: a6af

Square: 1820814241

Square Root: 206.56960086130775

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 nXk 0..1 arrays with every element equal to 0, 2, 3, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302889

Coefficients related to the asymptotics of generalized Delannoy numbers. A341476

Number of arrays of median of three adjacent elements of some length-5 0..n array, with no adjacent equal elements in the latter. A229013

E.g.f. A(x) satisfies A(x) = exp( -x·A(x) * A(-x·A(x)) ). A384760

Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where column k is the expansion of e.g.f. B(x)^k, where B(x) is the e.g.f. of A384760. A384761

Expansion of f(-x)¹¹ / f(-x³) + 27·x * f(-x³)¹¹ / f(-x) in powers of·where f() is a Ramanujan θ function. A258724

Number of 3Xn 0..1 arrays with every element equal to 0, 2, 3, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302890

a(n) is the smallest composite k such that k divides 2^k·n-1 - 1. A317556

a(n) = binomial(6·n, n) * hypergeom([-5·n, -n], [-6·n], -1). A341491

Primes p such that p+1, p+2, p+3, p+4, p+5 and p+6 have equal number of divisors. A119740