Properties of the Number 25239

Twenty-Five Thousand Two Hundred Thirty-Nine

Basics

Value: 25238 → 25239 → 25240

Parity: odd

Prime: No

Previous Prime: 25237

Next Prime: 25243

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 47 × 179

Divisors: 1, 3, 47, 141, 179, 537, 8413, 25239

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 110001010010111

Octal: 61227

Duodecimal: 12733

Hexadecimal: 6297

Square: 637007121

Square Root: 158.86786962756187

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

T(n,k)=Number of nXk 0..1 arrays with no more than floor(nXk/2) elements unequal to at least one king-move neighbor, with new values introduced in row major 0..1 order. A222360

Number of (w,x,y,z) with all terms in {1,...,n} and w·x+y·z<=n². A212150

Number of nX4 0..1 arrays with no more than floor(nX4/2) elements unequal to at least one king-move neighbor, with new values introduced in row major 0..1 order. A222356

a(n) = floor(8·n³/27). A379852

Expansion of x³*(x-1)*(x+1) / (x⁵-2·x⁴+x²-1). A135990

a(n) = start of a sequence of at least n consecutive primes, p₁, p₂, ..., p_n (say), all == 1 mod 4, such that A(p₁) > A(p₂) > ... > A(p_n), where A(p) (see A145010) is the area of the Pythagorean triangle with hypotenuse p. A144954

Number of 8 X n integer matrices (m_i,j) such that m_1,1=0, m_8,n=2, and all rows, columns, and falling diagonals are (weakly) monotonic without jumps of 2. A323972

a(n) = a(1)*a(n-1) + a(2)*a(n-2) + ...+ a(n-2)*a(2) for n >= 3. A25239

E.g.f. satisfies: A(x) = ∑_n>=0 ∏_k=1..n Integral A(x)^2·k-1 dx. A234303