Properties of the Number 10286

Ten Thousand Two Hundred Eighty-Six

Basics

Value: 10285 → 10286 → 10287

Parity: even

Prime: No

Previous Prime: 10273

Next Prime: 10289

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 × 37 × 139

Divisors: 1, 2, 37, 74, 139, 278, 5143, 10286

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100000101110

Octal: 24056

Duodecimal: 5B52

Hexadecimal: 282e

Square: 105801796

Square Root: 101.41991914806479

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

Sum of all the parts in the partitions of n into 6 squarefree parts. A308903

Inverse of the Delannoy triangle. A103136

T(n, k) counts Schroeder n-paths whose ascent starting at the initial vertex has length k. Triangle T(n,k), read by rows. A132372

Expansion of ∏_k>=1 1/(1 - x^k)^{2^k-1}. A319918

Number of returns to the x-axis from above (i.e., d steps hitting the x-axis) in all Grand Motzkin paths of length n. A109196

Number of partitions p of n such that (maximal multiplicity of the parts of p) >= (number of distinct parts of p). A240308

a(n) = n*(15·n + 1)/2. A22273

Matrix square of triangle A063967. A91700

Number of partitions of n such that 4*(smallest part) = (number of parts). A350896

a(n) = prime(n)*(prime(n+1)-1)/2. A14303