Properties of the Number 55971

Fifty-Five Thousand Nine Hundred Seventy-One

Basics

Value: 55970 → 55971 → 55972

Parity: odd

Prime: No

Previous Prime: 55967

Next Prime: 55987

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ⁴ × 691

Divisors: 1, 3, 9, 27, 81, 691, 2073, 6219, 18657, 55971

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101101010100011

Octal: 155243

Duodecimal: 28483

Hexadecimal: daa3

Square: 3132752841

Square Root: 236.58190970570848

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

Schoenheim bound L₁(n,6,5). A36833

T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with no element 1 greater than its north, west or southeast neighbor modulo n and the upper left element equal to 0. A267546

Expansion of 1/(x^k*(1-x-2·x^k+1)) for k=5. A143448

Sum of digits in n-th term of A022470. A22475

a(1) = 3, a(2) = 4. a(n) = (largest composite which occurs earlier in sequence) + (largest prime which occurs earlier in sequence). A120365

Number of nX3 arrays containing 3 copies of 0..n-1 with no element 1 greater than its north, west or southeast neighbor modulo n and the upper left element equal to 0. A267545

Number of 5Xn arrays containing n copies of 0..5-1 with no element 1 greater than its north, west or southeast neighbor modulo 5 and the upper left element equal to 0. A267548

Numbers k such that k | (σ(k) - d(k) - φ(k)) and k is not a prime or twice a prime. A55971