Properties of the Number 40956

Forty Thousand Nine Hundred Fifty-Six

Basics

Value: 40955 → 40956 → 40957

Parity: even

Prime: No

Previous Prime: 40949

Next Prime: 40961

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 3413

Divisors: 1, 2, 3, 4, 6, 12, 3413, 6826, 10239, 13652

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001111111111100

Octal: 117774

Duodecimal: 1B850

Hexadecimal: 9ffc

Square: 1677393936

Square Root: 202.37588789181382

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) = T(4,n), array T given by A048483. A48487

Numbers k such that 6·k+5, 6·k+11, 6·k+17, 6·k+23 are consecutive primes. A90836

T(n,k)=Number of nXk 0..1 arrays with each 1 adjacent to 1, 3 or 4 king-move neighboring 1s. A296804

Start with 1, then alternately add 2 or double. A123208

Expansion of (x - x² + 2·x³ + 2·x⁴)/(1 - 3·x + 2·x²). A270810

Those n for which A140259(n) = A002264(n+11). A140260

G.f. A(x) satisfies 1/2 = ∑_n=-oo..+oo xⁿ * (A(x) + xⁿ)^2·n-1. A380068

a(n) is one fourth of the total number of free ends of 4 line segments expansion at n iterations (see Comments lines for definition). A238549

Number of nX4 0..1 arrays with each 1 adjacent to 1, 3 or 4 king-move neighboring 1s. A296800

Number of n X 6 0..1 arrays with each 1 adjacent to 1, 3 or 4 king-move neighboring 1's. A296802