Properties of the Number 25755

Twenty-Five Thousand Seven Hundred Fifty-Five

Basics

Value: 25754 → 25755 → 25756

Parity: odd

Prime: No

Previous Prime: 25747

Next Prime: 25759

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 5 × 17 × 101

Divisors: 1, 3, 5, 15, 17, 51, 85, 101, 255, 303

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 110010010011011

Octal: 62233

Duodecimal: 12AA3

Hexadecimal: 649b

Square: 663320025

Square Root: 160.4836440264241

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

Riordan array (1/(1 + 5·x + x²), x/(1 + 5·x + x²))^-1; inverse of Riordan array A123967. A125906

Number of paths from (0,0) to (n,0), never going below the x-axis, using steps U=(1,1), H=(1,0) and D=(1,-1), where the H steps come in five colors. A182401

L.g.f.: ∑_n>=1 (x - x^2·n-1)^2·n-1 / (2·n-1). A293597

Odd numbers that are not of the form p + 2^a + 2^b with b > a > 0, and p prime. A268693

Numbers k such that 3k-4, 3k-2, 3k+2, and 3k+4 are primes. A173092

Numbers m such that m·reversal(m) contains every decimal digit exactly once. A178929

a(n) = (1/C(n,0) - 1/C(n,1) + ... + d/C(n,k))*L, where d = (-1)^k,k = [ n/2 ], L = LCM{C(n,0), C(n,1),..., C(n,n)}. A25536

Generalized Motzkin numbers: Square array read by descending antidiagonals, T(n, k) = k!*[x^k](exp(n·x)* BesselI₁(2·x)/x), n>=0, k>=0. A247495

10th-order Patalan numbers (generalization of Catalan numbers). A25755

Continued fraction expansion of a constant r such that the odd-indexed bisection equals the continued fraction of 2·r, with an even-indexed bisection of all 2's. A322728