Properties of the Number 10248

Ten Thousand Two Hundred Forty-Eight

Basics

Value: 10247 → 10248 → 10249

Parity: even

Prime: No

Previous Prime: 10247

Next Prime: 10253

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ³ × 3 × 7 × 61

Divisors: 1, 2, 3, 4, 6, 7, 8, 12, 14, 21

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100000001000

Octal: 24010

Duodecimal: 5B20

Hexadecimal: 2808

Square: 105021504

Square Root: 101.23240587875011

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

Numbers that can be expressed as the difference of the squares of primes in exactly four distinct ways. A92000

Triangle of coefficients of Gandhi polynomials. A36970

E.g.f. A(x) satisfies A( x/(exp(2·x)*cosh(2·x)) ) = exp(3·x)*cosh(3·x). A218304

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with no row, column, diagonal or antidiagonal in any 3X3 subblock summing to 0 2 4 5 7 or 9. A251652

a(n) = ∑_{1 <= i, j, k <= n} gcd(i,j,k). A344522

Expansion of ∑_k>0 x^2·k/(1-x^k)⁴. A363604

Expansion of e.g.f. C(x,k) satisfying C(x,k) = cosh( x·cosh(k·x*C(x,k)) ), as a triangle read by rows. A370430

Expansion of e.g.f. D(x,k) satisfying D(x,k) = cosh( k·x*cosh(x·D(x,k)) ), as a triangle read by rows. A370432

Least common multiple of reversals of divisors of n in decimal representation. A188649

Expansion of ∑_k>0 x^2·k/(1+x^k)⁴. A363598