Properties of the Number 75776

Seventy-Five Thousand Seven Hundred Seventy-Six

Basics

Value: 75775 → 75776 → 75777

Parity: even

Prime: No

Previous Prime: 75773

Next Prime: 75781

Digit Sum: 32

Digital Root: 5

Palindrome: No

Factorization: 2 ¹¹ × 37

Divisors: 1, 2, 4, 8, 16, 32, 37, 64, 74, 128

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10010100000000000

Octal: 224000

Duodecimal: 37A28

Hexadecimal: 12800

Square: 5742002176

Square Root: 275.27440854536405

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

Numbers k such that (number of prime factors of k counted with multiplicity) less (number of distinct prime factors of k) = 10. A195069

a(n) = 2^n-1 * prime(n). A110295

First term of A175304 with a given prime signature. A282231

a(0)=2, a(1)=7, and a(n) = (3·n+1)*2^n-1 if n > 1. A176662

Smallest Smith number with n prime factors. A104168

Highly decomposable Smith numbers. A Smith number which sets a record for the number of prime factors (counting multiplicity) starting from first Smith number is called a highly decomposable Smith number. A104169

Heinz numbers of integer partitions whose product equals their length. A353699

a(n) is the number of exterior top arches (no covering arch) for semi-meanders in generation n+1 that are generated by semi-meanders with n top arches and floor((n+2)/2) exterior top arches using the exterior arch splitting algorithm. A365679

Expansion of (x-1)*(x²-4·x-1)/(1-2·x)². A3232

Coefficients of characteristic polynomials of Hadamard Cartan F₂ self-similar 2ⁿ matrices:M={{2, -1}, {-2, 2}}. A173820