Properties of the Number 46593

Forty-Six Thousand Five Hundred Ninety-Three

Basics

Value: 46592 → 46593 → 46594

Parity: odd

Prime: No

Previous Prime: 46591

Next Prime: 46601

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 31 × 167

Divisors: 1, 3, 9, 31, 93, 167, 279, 501, 1503, 5177

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011011000000001

Octal: 133001

Duodecimal: 22B69

Hexadecimal: b601

Square: 2170907649

Square Root: 215.85411740339816

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

a(n) = 6ⁿ - 2ⁿ + 1. A155597

Numbers that are the sum of 3 positive cubes in exactly 3 ways. A25397

Numbers that are the sum of 3 distinct positive cubes in 3 or more ways. A25402

Numbers that are the sum of 3 distinct positive cubes in exactly 3 ways. A25401

Polylogarithm li(-n,-1/8) multiplied by (9ⁿ⁺¹)/8. A213131

Triangle read by rows: T(n,k) is the number of weighted lattice paths in B(n) having k valleys. The members of B(n) are paths of weight n that start at (0,0), end on but never go below the horizontal axis, and whose steps are of the following four kinds: an (1,0)-step with weight 1, an (1,0)-step with weight 2, a (1,1)-step with weight 2, and a (1,-1)-step with weight 1. The weight of a path is the sum of the weights of its steps. A valley is a (1,-1)-step followed by a (1,1)-step. A182900

Numbers n such that (n(n+1)/2) modulo σ(n) = n. A232538

Numbers n such that floor(antisigma(n) / σ(n)) = floor(antisigma(n+1) / σ(n+1)). A244666

Square array T(n,k), n >= 1, k >= 1, read by antidiagonals downwards, where T(n,k) = ∑_j=1..n (-1)^j+1 * floor(n/(2·j-1))^k. A350161

a(n) = T(7,n), array T given by A048471. A36548