Properties of the Number 55957

Fifty-Five Thousand Nine Hundred Fifty-Seven

Basics

Value: 55956 → 55957 → 55958

Parity: odd

Prime: No

Previous Prime: 55949

Next Prime: 55967

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 11 × 5087

Divisors: 1, 11, 5087, 55957

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1101101010010101

Octal: 155225

Duodecimal: 28471

Hexadecimal: da95

Square: 3131185849

Square Root: 236.55231979416308

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) = ∑_{k=0..floor(n/4)} (-1)^k * binomial(n-3·k,k) * Catalan(k). A360026

G.f. A(x) satisfies: 1 = ∑_n>=0 ( 1 + x·A(x)ⁿ⁺² - A(x) )ⁿ. A303925

Number of essentially different semi-magic squares of order 3 with semimagic sum n. A122751

Number of 4X3 integer matrices with each row summing to zero, row elements in nondecreasing order, rows in lexicographically nondecreasing order, and the sum of squares of the elements <= 2·n² (number of collections of 4 zero-sum 3-vectors with total modulus squared not more than 2·n², ignoring vector and component permutations). A192704

Hash Parker numbers: Integers whose real 32nd root's first six nonzero digits (after the decimal point) rearranged in ascending order are equal to 234477. A309979

n - reversal of base 8 digits of n (written in base 10). A55957