Properties of the Number 40905

Forty Thousand Nine Hundred Five

Basics

Value: 40904 → 40905 → 40906

Parity: odd

Prime: No

Previous Prime: 40903

Next Prime: 40927

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ⁴ × 5 × 101

Divisors: 1, 3, 5, 9, 15, 27, 45, 81, 101, 135

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001111111001001

Octal: 117711

Duodecimal: 1B809

Hexadecimal: 9fc9

Square: 1673219025

Square Root: 202.24984548819808

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

Numbers that are the sum of 8 positive 9th powers. A3397

Odd numbers k for which A003958(σ(k)) = A003958(k), where A003958 is multiplicative with a(p^e) = (p-1)^e and σ is the sum of divisors function. A351443

Numbers k that divide the (right) concatenation of all numbers <= k written in base 3 (most significant digit on left). A29448

Number of 0..n arrays x(0..4) of 5 elements without any two consecutive increases. A200787

Fourier coefficients of the modular form (1/t_6a³) * (1-12·sqrt(-3)/t_6a)^5/6 * F_6a¹⁴. A341570

T(n,k) is the number of arrays of n+2 elements from {0,1,...,k} with no two consecutive ascents. A200785

Continued fraction for sqrt(936). A40905