Properties of the Number 41745

Forty-One Thousand Seven Hundred Forty-Five

Basics

Value: 41744 → 41745 → 41746

Parity: odd

Prime: No

Previous Prime: 41737

Next Prime: 41759

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 5 × 11 ² × 23

Divisors: 1, 3, 5, 11, 15, 23, 33, 55, 69, 115

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1010001100010001

Octal: 121421

Duodecimal: 201A9

Hexadecimal: a311

Square: 1742645025

Square Root: 204.3159318310738

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

T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 0 2 or 4. A252032

Triangle read by rows: T(n, k) = (5·n-5·k+1)*T(n-1, k-1) +(5·k-4)*T(n-1, k) + 5·T(n-2, k-1) with T(n, 1) = T(n, n) = 1. A144442

Expansion of ∏_m>=1 (1+q^m)^-3. A22598

McKay-Thompson series of class 32a for the Monster group. A107635

Expansion of ∏_{k > 0} (1 + A005229(k)*x^k). A147880

Numbers k such that σ(k) = ψ(k) + τ(k)². A390296

T(n,k)=Number of nXk arrays of occupancy after each element stays put or moves to some king-move neighbor, without move-in move-out left turns. A221776

Triangle read by rows: coefficients of rook polynomials. A259985

Triangle read by rows. Convolution triangle of the Bell numbers. A357583

Rook polynomials. A5777