Properties of the Number 75775

Seventy-Five Thousand Seven Hundred Seventy-Five

Basics

Value: 75774 → 75775 → 75776

Parity: odd

Prime: No

Previous Prime: 75773

Next Prime: 75781

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 5 ² × 7 × 433

Divisors: 1, 5, 7, 25, 35, 175, 433, 2165, 3031, 10825

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10010011111111111

Octal: 223777

Duodecimal: 37A27

Hexadecimal: 127ff

Square: 5741850625

Square Root: 275.2725921700161

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 the odd part of (1+k) divides (1 + odd part of A001615(k)), where A001615 is Dedekind's ψ-function. A387415

Permutation of N induced by rotating the node 5 left in the infinite planar binary tree shown at A065658. A65669

a(n) = 74·n² - 1. A158744

a(n) = 37·2^n-1-1. A171390

Numbers whose digits are prime and which retain this property when multiplied by some 1-digit prime (i.e., one of 2, 3, 5 or 7). A227922

E.g.f.: log(1-x)*LambertW(-x). A277482

Triangle read by rows: T(n,k) = t(n,k) + t(n,n-k), where t(n,k) = 2*(n!/k!)*(2*(n + k) - 1). A154987

Number of squarefree parts in the partitions of n into 10 parts. A309464

a(n) = 2·a(n-1) + 1 for a(n-1) not prime, otherwise a(n) = prime(n) - 1; with a(1) = 147. A375155

G.f. A(x) satisfies: [xⁿ] A(x)ⁿ⁺¹ = [xⁿ] (1 + x·A(x)^3·n+2)ⁿ⁺¹ for n >= 0. A360338