Properties of the Number 14135

Fourteen Thousand One Hundred Thirty-Five

Basics

Value: 14134 → 14135 → 14136

Parity: odd

Prime: No

Previous Prime: 14107

Next Prime: 14143

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 5 × 11 × 257

Divisors: 1, 5, 11, 55, 257, 1285, 2827, 14135

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 11011100110111

Octal: 33467

Duodecimal: 821B

Hexadecimal: 3737

Square: 199798225

Square Root: 118.89070611279925

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

Values of m such that binomial(m, a) + binomial(m, b) divides binomial(m, a + b) for some distinct nonnegative integers a and b with a + b <= m. A140601

Values of m for which C(m,k)+C(m,k+1)=C(m+1,k+1) divides C(m,2k+1) for some nonnegative integer k with 2k+1 <= m. A140602

Ninth convolution of A000129(n+1) (generalized (2,1)-Fibonacci, called Pell numbers), n>=0, with itself. A73386

Expansion of (1+2·x³)/(1-x+x³-2·x⁴). A103750

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, -1), (-1, 0, 0), (0, 0, 1), (1, 0, 0), (1, 1, -1)}. A150086

Square array: A(r,1) = A065621(r); for c > 1, A(r,c) = A048724(A(r,c-1)), read by descending antidiagonals as A(1,1), A(1,2), A(2,1), A(1,3), A(2,2), A(3,1), etc. A277820

Inverse of 126th cyclotomic polynomial. A14135

Irregular triangle by rows derived from variants of Cartan matrices: 1's in the super and subdiagonals and 3,4,4,4,... in the main diagonal alternating with 4,4,4,... A180062

Number of nX2 0..4 arrays with every nonzero element less than or equal to at least two horizontal and vertical neighbors. A203340