Properties of the Number 21595

Twenty-One Thousand Five Hundred Ninety-Five

Basics

Value: 21594 → 21595 → 21596

Parity: odd

Prime: No

Previous Prime: 21589

Next Prime: 21599

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 5 × 7 × 617

Divisors: 1, 5, 7, 35, 617, 3085, 4319, 21595

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101010001011011

Octal: 52133

Duodecimal: 105B7

Hexadecimal: 545b

Square: 466344025

Square Root: 146.95237323704575

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) = (1/2)*A014431(n+2). A25235

Expansion of g²/(1 - x³*g), where g = 1+x·g³ is the g.f. of A001764. A391123

a(n) = 441·n² - 2·n. A157737

Decimal representation of the x-axis, from the left edge to the origin, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 345", based on the 5-celled von Neumann neighborhood. A281220

Decimal representation of the x-axis, from the left edge to the origin, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 405", based on the 5-celled von Neumann neighborhood. A281850

Number of 4-cycles in the n-polygon diagonal intersection graph. A300552

Number of set partitions of [n] with alternating parity of elements and exactly four blocks. A305778

Values·of successive minima records of k = log(x)/log(-d) where d runs through the negative values of x³-round(sqrt(x³))². A232008

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (0, 1, 0), (0, 1, 1), (1, 0, 1), (1, 1, -1)}. A151159

O.g.f. A(x) satisfies: A(x) = 1 + Integral (x·A(x)⁸)' / (x·A(x)⁵)' dx. A302704