Properties of the Number 76356

Seventy-Six Thousand Three Hundred Fifty-Six

Basics

Value: 76355 → 76356 → 76357

Parity: even

Prime: No

Previous Prime: 76343

Next Prime: 76367

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ³ × 7 × 101

Divisors: 1, 2, 3, 4, 6, 7, 9, 12, 14, 18

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10010101001000100

Octal: 225104

Duodecimal: 38230

Hexadecimal: 12a44

Square: 5830238736

Square Root: 276.3258945520669

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) = ∑_{j=0..floor(n/3)} (-1)^j C(n,j) * C(2j,j) * C(2n-2j,n-j) * (C(2n-3j-1,n) + C(2n-3j,n)). A219692

E.g.f. 1/(D(x) - S(x)), where C(x)² - S(x)² = 1 and D(x)³ - S(x)³ = 1, and functions S(x), C(x), and D(x) are described by A280620, A280621, and A280622, respectively. A280624

Numbers n having at least two distinct symmetrical pairs of divisors (a, b) and (b', a') such that n = a·b = b'*a' with a' = reverse(a) and b' = reverse(b). A228164

Numbers n such that 210·n-11 is prime. A76356