Properties of the Number 35946

Thirty-Five Thousand Nine Hundred Forty-Six

Basics

Value: 35945 → 35946 → 35947

Parity: even

Prime: No

Previous Prime: 35933

Next Prime: 35951

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 1997

Divisors: 1, 2, 3, 6, 9, 18, 1997, 3994, 5991, 11982

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000110001101010

Octal: 106152

Duodecimal: 18976

Hexadecimal: 8c6a

Square: 1292114916

Square Root: 189.59430371189953

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 pairs of integer partitions (y, v) of n such that there exists a pair of set partitions of {1,...,n} with meet {{1},...,{n}}, the first having block sizes y and the second v. A318396

Expansion of ∏_k>=1 1/(1-x^k+7)^k. A263363

a(n) = 282·2ⁿ - 150. A305067

T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction. A250769

Number of partitions in parts not of the form 11k, 11k+3 or 11k-3. Also number of partitions with at most 2 parts of size 1 and differences between parts at distance 4 are greater than 1. A35946