Properties of the Number 48007

Forty-Eight Thousand Seven

Basics

Value: 48006 → 48007 → 48008

Parity: odd

Prime: No

Previous Prime: 47981

Next Prime: 48017

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 61 × 787

Divisors: 1, 61, 787, 48007

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011101110000111

Octal: 135607

Duodecimal: 23947

Hexadecimal: bb87

Square: 2304672049

Square Root: 219.1049976609388

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) = 3*(2ⁿ⁺¹-2)*(2ⁿ⁺¹-1) + 1. A169727

Gaps of 6 in sequence A038593 (lower terms). A38651

Composite numbers k such that k-1 divides 2^k-2. A330382

The (1,1)-entry in the 3 X 3 matrix Mⁿ, where M = [1,2,1 / 2,2,0 / 1,0,0]. A100191

Number of self-inverse permutations in S_n with longest increasing subsequence of length 10. A217322

Expansion of g.f.: x²*(1-2·x) / (1-3·x-3·x²+2·x³). A123950

Floor(nⁿ/n!) - ceiling(2ⁿ/n). A127642

Number of (n+1) X (3+1) 0..1 arrays with no 2 X 2 subblock having the sum of its diagonal elements greater than the maximum of its antidiagonal elements. A251123

Numbers whose base-6 representation has exactly 7 runs. A43615

Number of n X n binary arrays symmetric under horizontal reflection with all ones connected only in a 1101-0111-0010 pattern in any orientation. A147240