Properties of the Number 10048

Ten Thousand Forty-Eight

Basics

Value: 10047 → 10048 → 10049

Parity: even

Prime: No

Previous Prime: 10039

Next Prime: 10061

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 2 ⁶ × 157

Divisors: 1, 2, 4, 8, 16, 32, 64, 157, 314, 628

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011101000000

Octal: 23500

Duodecimal: 5994

Hexadecimal: 2740

Square: 100962304

Square Root: 100.23971268913334

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 k such that there is 1 prime between 100·k and 100·k + 99. A186393

Expansion of ∏_m>=1 (1-m·q^m). A22661

Numbers with prime factorization p·q⁶. A189987

Numbers with 14 divisors. A30632

Expansion of ∏_k>=1 ((1+x^k)/(1-x^k))^2·k. A261386

Number of representations of n as a sum of products of pairs of positive integers, n = ∑_k=1..m i_k*j_k with i_k<=j_k, i_k<=i_k+1, j_k<=j_k+1, i_k*j_k<=i_k+1*j_k+1. A212214

Number of polyforms with n cells on the faces of a tetrakis hexahedron up to rotation. A383803

Triangle of coefficients of polynomials P(n; x) = Permanent(M), where M=[m(i,j)] is n X n matrix defined by m(i,j)=x if -1<=i-j<=1 else m(i,j)=1. A80018

Triangle of numbers, called Y(1,2), related to generalized Catalan numbers A062992(n) = C(2;n+1) = A064062(n+1). A115195

a(n) = dot_product(1,2,...,n)*(4,5,...,n,1,2,3). A26040