Properties of the Number 24409

Twenty-Four Thousand Four Hundred Nine

Basics

Value: 24408 → 24409 → 24410

Parity: odd

Prime: No

Previous Prime: 24407

Next Prime: 24413

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 7 × 11 × 317

Divisors: 1, 7, 11, 77, 317, 2219, 3487, 24409

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101111101011001

Octal: 57531

Duodecimal: 12161

Hexadecimal: 5f59

Square: 595799281

Square Root: 156.23379916010492

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

Number A(n,k) of endofunctions on [n] such that no element has a preimage of cardinality k; square array A(n,k), n>=0, k>=0, read by antidiagonals. A245405

Number of endofunctions on [n] such that no element has a preimage of cardinality one. A231797

a(n) = ∑_i=0..n digsum(i)³, where digsum(i) = A007953(i). A231688

Triangular array read by rows: T(n,k) is the number of functions f:{1,2,...,n}->{1,2,...,n} with exactly k elements·such that |f^-1(x)| = 1; n>=0, 0<=k<=n. A206823

Triangle read by rows: T(n,k) (1 <= k <= n) defined by T(n,n) = (n-1)^n-1, T(n,k) = T(n,k+1) - (n-1)*T(n-1,k) for k = n-1 .. 1. A241580

Number of rooted compound windmills with n nodes and leaves of 2 colors. A32201

Consecutive states of the linear congruential pseudo-random number generator (1255·s + 6173) mod 29282 when started at s=1. A385339

Hypotenuses of more than one primitive Pythagorean triangle. A24409

T(n,k) = number of arrays of n 0..k integers with new values introduced in order 0..k but otherwise unconstrained. Array read by antidiagonals. A203647

Number of ways of placing n labeled balls into 9 indistinguishable boxes; word structures of length n using a 9-ary alphabet. A164863