Properties of the Number 77045

Seventy-Seven Thousand Forty-Five

Basics

Value: 77044 → 77045 → 77046

Parity: odd

Prime: No

Previous Prime: 77041

Next Prime: 77047

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 5 × 19 × 811

Divisors: 1, 5, 19, 95, 811, 4055, 15409, 77045

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10010110011110101

Octal: 226365

Duodecimal: 38705

Hexadecimal: 12cf5

Square: 5935932025

Square Root: 277.5698110385926

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

Number of Motzkin excursions of length n with an odd number of humps and an even number of peaks. A325924

Number of character table entries of the symmetric group S_n which are > 0. A51749

Numbers n such that φ(n-1) + φ(n+1) = φ(2n). A67701

a(n) = 23 + floor( 1 + ∑_j=1..n-1 a(j)/2 ). A120147

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 0, 1), (1, -1, 1), (1, 0, 0), (1, 1, -1)}. A148203

Doubly restricted composition numbers: number of compositions of 1+2+3+...+n = n(n+1)/2 into exactly n positive integers each no more than n. A77045

Number of 7Xn 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 0 1 and 1 1 0 vertically. A207708