Properties of the Number 76928

Seventy-Six Thousand Nine Hundred Twenty-Eight

Basics

Value: 76927 → 76928 → 76929

Parity: even

Prime: No

Previous Prime: 76919

Next Prime: 76943

Digit Sum: 32

Digital Root: 5

Palindrome: No

Factorization: 2 ⁷ × 601

Divisors: 1, 2, 4, 8, 16, 32, 64, 128, 601, 1202

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10010110010000000

Octal: 226200

Duodecimal: 38628

Hexadecimal: 12c80

Square: 5917917184

Square Root: 277.35897317375543

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

G.f. satisfies: A(x) = 1/(1 + x·A(x²)) and also the continued fraction: 1 + x·A(x³) = [1; 1/x, 1/x², 1/x⁴, 1/x⁸, ..., 1/x^{2^(n-1}), ...]. A101912

Triangle T(n,k), 0<=k<=n, read by rows; given by [0, 1, 0, 2, 0, 3, 0, 4, 0, 5, 0, ...] δ [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, ...] where δ is the operator defined in A084938. A94456

If p(k) is the k-th prime, then the n-th set of 4 consecutive cousin prime pairs starts at p(a(n)). A95971

a(1) = 1, a(n+1)= a(n)*(n+1) divided by the largest prime divisor of n+1. A76928

Diagonal of the rational function 1/(1 - x - y - z - x y + x y z). A274673

A functionally symmetric Polynomial as a triangle of coefficients: p(x,n)=If[n == 0, 1, (x + 1)ⁿ + 2^{n - 3}*Sum[(3^m-1 + 2·m+(n-1) )*x^m*(1 + x^{n - 2·m}), {m, 1, n - 1}]]. A146959