Properties of the Number 40104

Forty Thousand One Hundred Four

Basics

Value: 40103 → 40104 → 40105

Parity: even

Prime: No

Previous Prime: 40099

Next Prime: 40111

Digit Sum: 9

Digital Root: 9

Palindrome: Yes

Factorization: 2 ³ × 3 ² × 557

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001110010101000

Octal: 116250

Duodecimal: 1B260

Hexadecimal: 9ca8

Square: 1608330816

Square Root: 200.25983121934362

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

Triangle read by rows: T(n,k) is the number of subpermutations of an n-set whose orbits are each of size at most k, and without fixed points. Equivalently, T(n,k) is the number of partial derangements of an n-set each of whose orbits is of size at most k. A261762

Palindromes with exactly 6 prime factors (counted with multiplicity). A46332

Numerators of continued fraction convergents to sqrt(107). A41192

Expansion of ∏_m>=1 (1+m·q^m)^-18. A22710

Expansion of e.g.f. arcsin(arctan(x) * log(x+1)). A12398

Palindromes that start with 4. A43039

a(n) = n² concatenated with reverse(n²) divided by 11. A84009

Palindromes with digit sum 9. A121476

Numbers k with squares that are concatenations k² = x//y such that·is an anagram of y. A162945

Number of 4-step left-handed knight's tours (moves only out two, left one) on an n X n board summed over all starting positions. A187174