Properties of the Number 27141

Twenty-Seven Thousand One Hundred Forty-One

Basics

Value: 27140 → 27141 → 27142

Parity: odd

Prime: No

Previous Prime: 27127

Next Prime: 27143

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 83 × 109

Divisors: 1, 3, 83, 109, 249, 327, 9047, 27141

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110101000000101

Octal: 65005

Duodecimal: 13859

Hexadecimal: 6a05

Square: 736633881

Square Root: 164.74525789836866

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 of integer partitions of n with integer alternating product. A347446

Expansion of ∏_k>=0 (1-x^4·k+1)^4·k+1. A285070

Expansion of ∏_k>=0 (1 + x^4·k+1)^4·k+1. A285288

a(n) = floor(b(n)), where b(1) = 1 and b(n) = b(n-1) + ∑_k=1..n-1 b(k)/(n-1). A376995

Number of (n+1) X 6 0..1 arrays with the number of rightwards and downwards edge increases in each 2 X 2 subblock equal to the number in all its horizontal and vertical neighbors. A206264

Indices k such that A358128(k) is a square. A358130

T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with the number of rightwards and downwards edge increases in each 2X2 subblock equal to the number in all its horizontal and vertical neighbors. A206267

a(n) = ∑_k=0..2n-1 T(n,k) * T(n,k+1), with T given by A027113. A27141