Properties of the Number 24855

Twenty-Four Thousand Eight Hundred Fifty-Five

Basics

Value: 24854 → 24855 → 24856

Parity: odd

Prime: No

Previous Prime: 24851

Next Prime: 24859

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 5 × 1657

Divisors: 1, 3, 5, 15, 1657, 4971, 8285, 24855

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 110000100010111

Octal: 60427

Duodecimal: 12473

Hexadecimal: 6117

Square: 617771025

Square Root: 157.65468594367883

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 of ways to split a strict integer partition of n into consecutive subsequences with weakly decreasing sums. A319794

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 0 3 5 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 0 3 5 6 or 7. A252148

Total number of compositions in the compositions of partitions of n. A327548

Number of (n+2)X(1+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 0 3 5 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 0 3 5 6 or 7. A252141

Number of (n+2)X(6+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 0 3 5 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 0 3 5 6 or 7. A252146

a(n) = ∑_j=1..n ∑_k=1..n φ(n·j*k) / φ(n·k). A372669

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, 0, 0), (-1, 0, 1), (0, 1, -1), (0, 1, 1), (1, -1, 0)}. A148967

Number of (n+2)X(1+2) 0..3 arrays with every 3X3 subblock row and column sum not equal to 0 1 3 6 or 7 and every 3X3 diagonal and antidiagonal sum equal to 0 1 3 6 or 7. A252150

a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (natural numbers), t = A023531. A24855