Properties of the Number 10142

Ten Thousand One Hundred Forty-Two

Basics

Value: 10141 → 10142 → 10143

Parity: even

Prime: No

Previous Prime: 10141

Next Prime: 10151

Digit Sum: 8

Digital Root: 8

Palindrome: No

Factorization: 2 × 11 × 461

Divisors: 1, 2, 11, 22, 461, 922, 5071, 10142

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011110011110

Octal: 23636

Duodecimal: 5A52

Hexadecimal: 279e

Square: 102860164

Square Root: 100.70749723828906

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

-1 + number of partitions of n. A65

Expansion of ∏_k>=1 1 / (1 - k·x^k)^k. A266941

Number T(n,k) of isoscent sequences of length n with exactly k descents; triangle T(n,k), n>=0, 0<=k<=n+2-ceiling(2·sqrt(n+1)), read by rows. A242352

Number of starting positions of Nim with 2n pieces such that 2nd player wins. Partitions of 2n such that xor-sum of partitions is 0. A48833

Total sum of even parts in all partitions of n. A66966

a(n) = a(n-1) + a(n-1-(number of odd terms so far)). A7604

Same rule as Aitken triangle (A011971) except a(0,0)=0, a(1,0)=1. A46936

a(n) = n³ - n² - n. A152015

Number of (nontrivial) zeros of ζ(z) with 0 < Im(z) < 10ⁿ. A72080

a(n) = 441·n - 1. A158319