Properties of the Number 42651

Forty-Two Thousand Six Hundred Fifty-One

Basics

Value: 42650 → 42651 → 42652

Parity: odd

Prime: No

Previous Prime: 42649

Next Prime: 42667

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 7 × 677

Divisors: 1, 3, 7, 9, 21, 63, 677, 2031, 4739, 6093

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1010011010011011

Octal: 123233

Duodecimal: 20823

Hexadecimal: a69b

Square: 1819107801

Square Root: 206.52118535394862

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 set partitions of [n] where each subset is again partitioned into k nonempty subsets; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A324162

Number of set partitions of [n] where each subset is again partitioned into five nonempty subsets. A327506

Expansion of e.g.f. -log( 1 - (exp(x) - 1)⁵ / 5! ). A346955

Number of set partitions of [2n] where each subset is again partitioned into n nonempty subsets. A324241

Odd numbers k such that k and k+2 both have at least two divisors with the same value of the Euler totient function (A000010). A373527

G.f. A(x) = exp( ∑_n>=1 (n² - A384819(n))*xⁿ/n ) where A384819(k) < k for k >= 1 such that A(x) is a power series with integral coefficients. A384820

Denominators of continued fraction convergents to sqrt(855). A42651

Number of loopless rooted planar maps with 5 faces and n vertices and no isthmuses. A6418