Properties of the Number 25785

Twenty-Five Thousand Seven Hundred Eighty-Five

Basics

Value: 25784 → 25785 → 25786

Parity: odd

Prime: No

Previous Prime: 25771

Next Prime: 25793

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 5 × 191

Divisors: 1, 3, 5, 9, 15, 27, 45, 135, 191, 573

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 110010010111001

Octal: 62271

Duodecimal: 12B09

Hexadecimal: 64b9

Square: 664866225

Square Root: 160.57708429287163

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 write n as a nonnegative linear combination of a strict integer partition. A365002

Numbers n such that the decimal expansions of both n and n² have 2 as smallest digit and 8 as largest digit. A257368

T(n,k)=Number of nXk 0..2 arrays with each element equal to either the maximum or the minimum of its horizontal and vertical neighbors. A183554

Sum of the largest parts of the partitions of n into 9 parts. A326473

McKay-Thompson series of class 24g for the Monster group. A112164

Triangle read by rows: T(n,k) is the number of Dyck paths of semilength n having k UUDD's starting at level 0; here U=(1,1), D=(1,-1) (0<=k<=floor(n/2)). A114486

Numbers n such that h(n) = 3 h(n-1) where h(n) is the length of the sequence {n, f(n), f(f(n)), ...., 1} in the Collatz (or 3x + 1) problem. (The earliest "1" is meant.) A78420

Numbers k such that 189·2^k+1 is prime. A32471

Number of n X 2 0..2 arrays with each element equal to either the maximum or the minimum of its horizontal and vertical neighbors. A183547

Number of nX7 0..2 arrays with each element equal to either the maximum or the minimum of its horizontal and vertical neighbors. A183552