Properties of the Number 42627

Forty-Two Thousand Six Hundred Twenty-Seven

Basics

Value: 42626 → 42627 → 42628

Parity: odd

Prime: No

Previous Prime: 42611

Next Prime: 42641

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 13 × 1093

Divisors: 1, 3, 13, 39, 1093, 3279, 14209, 42627

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1010011010000011

Octal: 123203

Duodecimal: 20803

Hexadecimal: a683

Square: 1817061129

Square Root: 206.46307175860773

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

Wieferich numbers (1): n > 1 such that 2^A000010(n) == 1 (mod n²). A77816

Table in which the g.f. of row n, R(n,x), satisfies ∑_k=-oo..+oo (-1)^k * (x^k + n·R(n,x))^k = 1 + (n+2)*∑_k>=1 (-1)^k * x^k², for n >= 1, as read by antidiagonals. A370020

Expansion of g.f. A(x) satisfying ∑_n=-oo..+oo (-1)ⁿ * (xⁿ + 5·A(x))ⁿ = 1 + 7*∑_n>=1 (-1)ⁿ * x^n². A370025

Expansion of (1-x)/(1-x-3·x²). A52533

a(0)=1, a(1)=3, a(n) = 7·a(n-1) - 9·a(n-2) for n > 1. A165310

Numbers m such that m² divides 2^k - 1 for some k, 0 < k <= m. A246503

Numbers n > 1 such that 2^m == 1 (mod n²), where m = A002326((n-1)/2). A265630

Numbers k that divide s(k), where s(1)=1, s(j)=13·s(j-1)+j. A14861

Numbers n > 1 such that 2^λ(n) == 1 (mod n²), where λ(n) is the Carmichael λ function (A002322). A291961

Denominators of continued fraction convergents to sqrt(843). A42627