Properties of the Number 25306

Twenty-Five Thousand Three Hundred Six

Basics

Value: 25305 → 25306 → 25307

Parity: even

Prime: No

Previous Prime: 25303

Next Prime: 25307

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 × 12653

Divisors: 1, 2, 12653, 25306

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110001011011010

Octal: 61332

Duodecimal: 1278A

Hexadecimal: 62da

Square: 640393636

Square Root: 159.07859692617356

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 non-loop-graphical integer partitions of 2n. A339655

Triangular array T(n,k), read by rows: coefficients of strong divisibility sequence of polynomials p(1,x) = 1, p(2,x) = 1 + 4·x, p(n,x) = u·p(n-1,x) + v·p(n-2,x) for n >= 3, where u = p(2,x), v = 1 - x - x². A367209

T(n,k)=Number of arrangements of n+1 nonzero numbers x(i) in -k..k with the sum of div(x(i),x(i+1)), where div(a,b)=a/b produces the integer quotient implying a nonnegative remainder, equal to zero. A190071

Triangle read by rows T(n,k) = the number of Dyck paths of semilength n with k UUDDU's, 0<=k<=[(n-1)/2]. A114848

a(n) = 4·a(n-1) - 4·a(n-2) + 3·a(n-3). A99215

Number of arrangements of n+1 nonzero numbers x(i) in -4..4 with the sum of div(x(i),x(i+1)), where div(a,b)=a/b produces the integer quotient implying a nonnegative remainder, equal to zero. A190066

Number of arrangements of 6 nonzero numbers x(i) in -n..n with the sum of div(x(i),x(i+1)), where div(a,b)=a/b produces the integer quotient implying a nonnegative remainder, equal to zero. A190075

Number of -1..1 arrays x(i) of n+1 elements i=1..n+1 with set{t,u,v in 0,1}((x[i+t]+x[j+u]+x[k+v])*(-1)^t+u+v) having two, three, four or five distinct values for every i,j,k<=n. A211527

a(n) = A278589(n)/2ⁿ. A278590

Number of isomorphism classes of multigraphs representing particle interactions in φ-4-theory on n non-external vertices. A387168