Properties of the Number 45977

Forty-Five Thousand Nine Hundred Seventy-Seven

Basics

Value: 45976 → 45977 → 45978

Parity: odd

Prime: No

Previous Prime: 45971

Next Prime: 45979

Digit Sum: 32

Digital Root: 5

Palindrome: No

Factorization: 23 × 1999

Divisors: 1, 23, 1999, 45977

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011001110011001

Octal: 131631

Duodecimal: 22735

Hexadecimal: b399

Square: 2113884529

Square Root: 214.42248016474392

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

Expansion of ∏_k>=1 1/(1 - (4·k-3)*x^4·k-3). A265830

Numbers n such that 12·n² + 13 is a square. A106256

Values of·satisfying x² = floor(y²/3 + y). A232771

Number of length 5+2 0..n arrays with every three consecutive terms having the sum of some two elements equal to twice the third. A248438

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 461", based on the 5-celled von Neumann neighborhood. A272293

Number of 5 X n 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 2 neighboring 1s. A297435

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 0, 1), (0, 1, 0), (1, -1, 1), (1, 0, -1)}. A148400

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, 1, 1), (0, 1, 1), (1, 0, -1), (1, 0, 1)}. A150629

T(n,k)=Number of nXk 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 2 neighboring 1s. A297431

Smallest number with same number of divisors as n!. A45977