Properties of the Number 75057

Seventy-Five Thousand Fifty-Seven

Basics

Value: 75056 → 75057 → 75058

Parity: odd

Prime: No

Previous Prime: 75041

Next Prime: 75079

Digit Sum: 24

Digital Root: 6

Palindrome: Yes

Factorization: 3 × 127 × 197

Divisors: 1, 3, 127, 197, 381, 591, 25019, 75057

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10010010100110001

Octal: 222461

Duodecimal: 37529

Hexadecimal: 12531

Square: 5633553249

Square Root: 273.9653262732348

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

Palindromes whose smallest palindromic proper multiple is the number concatenated with itself. A119368

L.g.f.: A(x) satisfies: A(x+x²) = 2·A(x) - log(1+x) with A(0)=0; thus A(x) = log(B(x)), where B(x) is g.f. of A122938. A122940

Number of inequivalent 2·n X 6 binary arrays with row sums 3 and column sums n up to row and column permutations. A377003

Rectangular table, read by antidiagonals, where the g.f. of row n is ∑_i>=0 F_i(x)ⁿ / 2ⁱ⁺¹, where F₀(x)=x, F_n+1(x) = F_n(x+x²), for n>=1. A122941

a(1) = 0, then smallest triangular number such that a(n+1)- a(n) is a palindrome. A75057