Properties of the Number 76416

Seventy-Six Thousand Four Hundred Sixteen

Basics

Value: 76415 → 76416 → 76417

Parity: even

Prime: No

Previous Prime: 76403

Next Prime: 76421

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ⁷ × 3 × 199

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10010101010000000

Octal: 225200

Duodecimal: 38280

Hexadecimal: 12a80

Square: 5839405056

Square Root: 276.4344406907359

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) = n*(7·n²-4)/3. A63521

a(n) = 20·a(n-1) - 64·a(n-2) for n > 1; a(0) = 1, a(1) = 18. A166927

Exponents in expansion of rank-2 Artin constant product(1-1/(p³-p²), p=prime) as a product ζ(n)^-a(n). A65417

McKay-Thompson series of class 24H for Monster. A58578

Vertical moments of inertia of a unit lozenge tiling of the hexagon with side lengths n (see references for exact configuration). A374083

Numbers k such that 45·2^k+1 is prime. A32372

Numbers n such that n=φ(φ(n)+σ(n)) and n is not of the form 2·p where p is a Sophie Germain odd prime. A97652

Number of permutations of length n which avoid the patterns 1234, 3421, 4231. A116803

Inverse Euler transform of {1,0,1,0,0,0,...}. A320786

a(n) = 2^{n - 1}*((-1)^{n + 1} + 7·2ⁿ)/3 = 2^{n - 1}*A062092(n). A370627