Properties of the Number 77044

Seventy-Seven Thousand Forty-Four

Basics

Value: 77043 → 77044 → 77045

Parity: even

Prime: No

Previous Prime: 77041

Next Prime: 77047

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ² × 11 × 17 × 103

Divisors: 1, 2, 4, 11, 17, 22, 34, 44, 68, 103

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10010110011110100

Octal: 226364

Duodecimal: 38704

Hexadecimal: 12cf4

Square: 5935777936

Square Root: 277.5680096841133

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

Symmetric difference of the primitive non-deficient numbers and the primitive Zumkeller numbers. A378538

Numbers that are primitive Zumkeller, but not primitive non-deficient. A378657

Symmetric square table of coefficients, read by antidiagonals, where T(n,k) is the coefficient of xⁿ*y^k in f(x,y) that satisfies: f(x,y) = g(x,y) + xy·f(x,y)⁴ and where g(x,y) satisfies: 1 + (x+y-1)*g(x,y) + xy·g(x,y)² = 0. A89447

Least number·such that xⁿ has n digits equal to k. Case k = 1. A285448

10000n+1, 10000n+3, 10000n+7, 10000n+9 are all primes. A64963

Largest coefficient in expansion of (1 + x + x² + ... + x^n-1)⁵ = ((1-xⁿ)/(1-x))⁵, i.e., the coefficient of x^floor(5*(n-1)/2) and of x^ceiling(5*(n-1)/2); also number of compositions of floor(5*(n+1)/2) into exactly 5 positive integers each no more than n. A77044