Properties of the Number 48014

Forty-Eight Thousand Fourteen

Basics

Value: 48013 → 48014 → 48015

Parity: even

Prime: No

Previous Prime: 47981

Next Prime: 48017

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 × 24007

Divisors: 1, 2, 24007, 48014

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011101110001110

Octal: 135616

Duodecimal: 23952

Hexadecimal: bb8e

Square: 2305344196

Square Root: 219.1209711552046

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

Number of (w,x,y,z) with all terms in {0,...,n} and w=max{w,x,y,z}-min{w,x,y,z}; i.e., the range of (w,x,y,z) is its first term. A212744

a(n) = ∑_{k=0..floor(n/2)} C(n-k,k+2)*2^n-k-2*(1/2)^k. A99625

Number of nonnesting permutations of [n] avoiding 231 (and by symmetry 132, 213, or 312). A383770

Number of nX6 0..4 arrays with each element·equal to the number its horizontal and vertical neighbors equal to 2,2,1,1,1 for x=0,1,2,3,4. A197543

Number of n X 7 0..4 arrays with each element·equal to the number its horizontal and vertical neighbors equal to 2,2,1,1,1 for x=0,1,2,3,4. A197544

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

T(n,k)=Number of nXk 0..4 arrays with each element·equal to the number of its horizontal and vertical neighbors equal to 2,2,1,1,1 for x=0,1,2,3,4. A197545

Number of nonempty subsets of {1,2,...,n} in which exactly 1/6 of the elements are <= (n-1)/3. A48014