Properties of the Number 41923

Forty-One Thousand Nine Hundred Twenty-Three

Basics

Value: 41922 → 41923 → 41924

Parity: odd

Prime: No

Previous Prime: 41911

Next Prime: 41927

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 7 × 53 × 113

Divisors: 1, 7, 53, 113, 371, 791, 5989, 41923

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010001111000011

Octal: 121703

Duodecimal: 20317

Hexadecimal: a3c3

Square: 1757537929

Square Root: 204.75106837328102

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) = 1 + (n-1) + (n-1)*[n/2-1] + (n-1)*[n/2-1]*[n/3-1] + (n-1)*[n/2-1]*[n/3-1]*[n/4-1] +... for n>0 with a(0)=1, where [x] = floor(x). A207643

Expansion of q^-3 * (η(q) * η(q⁸))⁸ in powers of q. A34433

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), (-1, 1, 1), (0, 0, -1), (1, 0, 0)}. A148703

G.f. F₁(x) satisfies: x = ∑_n>=1 F_n(x)ⁿ, where the n-th iteration of the g.f. is defined by: F_n(x) = F_n-1( F₁(x) ) with F₀(x) = x. A171780

Denominators of continued fraction convergents to sqrt(483). A41923

Triangular matrix T, read by rows, that satisfies: T³ + 3T² + 3T = SHIFTUP(T), also Tⁿ⁺² + 3Tⁿ⁺¹ + 3Tⁿ = SHIFTUP(Tⁿ - D·T^n-1) for all n, where D is a diagonal matrix with diagonal(D) = diagonal(T) = {1,2,3,...}. A103237