Properties of the Number 10148

Ten Thousand One Hundred Forty-Eight

Basics

Value: 10147 → 10148 → 10149

Parity: even

Prime: No

Previous Prime: 10141

Next Prime: 10151

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 ² × 43 × 59

Divisors: 1, 2, 4, 43, 59, 86, 118, 172, 236, 2537

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011110100100

Octal: 23644

Duodecimal: 5A58

Hexadecimal: 27a4

Square: 102981904

Square Root: 100.73728207570423

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

a(n) = n*(11·n - 1)/2. A22268

T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with each 2X2 subblock having clockwise pattern 0000 0001 0011 0101 or 1111. A259524

Numbers that are the sum of nine fourth powers in eight or more ways. A345592

Numbers that are the sum of nine fourth powers in exactly eight ways. A345850

Numbers k such that k + the reversal of k is a square. A61230

Upper (3/2)-midsequence of (F(2n)) and (F(2n+1)), where F=A000045 (Fibonacci numbers); see Comments. A387781

Expansion of 1/(theta₃(q) * theta₃(q²)), where theta₃() is the Jacobi θ function. A320069

prime(2n) + prime(n) == 0 (mod n). A66896

G.f. satisfies: x = A(x - A²(x - A³(x - A⁴(x - A⁵(x -...))))). A228883

a(n) = 2·a(n-1) - a(n-2) + a(n-4) for n>3, a(0)=0, a(1)=a(2)=2, a(3)=3. A286350