Properties of the Number 36142

Thirty-Six Thousand One Hundred Forty-Two

Basics

Value: 36141 → 36142 → 36143

Parity: even

Prime: No

Previous Prime: 36137

Next Prime: 36151

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 × 17 × 1063

Divisors: 1, 2, 17, 34, 1063, 2126, 18071, 36142

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000110100101110

Octal: 106456

Duodecimal: 18ABA

Hexadecimal: 8d2e

Square: 1306244164

Square Root: 190.1104941869333

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 divisors of n! with distinct prime multiplicities. A336414

a(n) = a(n-1) + a(m) for n >= 4, where m = 2·n - 2 - 2^p+1 and p is the unique integer such that 2^p < n - 1 <= 2^p+1, starting with a(1) = a(2) = 1 and a(2) = 4. A50039

Number of integer partitions of n whose parts plus 1 are relatively prime. A318980

The internal state of the Sinclair ZX81 and Spectrum random number generator. A357907

Molecular topological indices of the web graphs. A192850

a(n) = coefficient of xⁿ/n! in A(x) = ∑_n>=0 xⁿ/n! * ( (1 + sqrt(n)*x)^sqrt(n) + 1/(1 - sqrt(n)*x)^sqrt(n) )/2. A359459

G.f. A(x) = ∑_n>=0 xⁿ * ∏_k=0..n ((1+x)^n-k+1 - x^k). A384832

Upper (1,1/2) midsequence of (n²) and (n³); see Comments. A392105

Recursive sequence generated from a Petersen graph. A131435

3ⁿ mod 113. A36142