Properties of the Number 36996

Thirty-Six Thousand Nine Hundred Ninety-Six

Basics

Value: 36995 → 36996 → 36997

Parity: even

Prime: No

Previous Prime: 36979

Next Prime: 36997

Digit Sum: 33

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 3083

Divisors: 1, 2, 3, 4, 6, 12, 3083, 6166, 9249, 12332

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001000010000100

Octal: 110204

Duodecimal: 194B0

Hexadecimal: 9084

Square: 1368704016

Square Root: 192.34344283078642

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 partitions of n with exactly four part sizes. A365630

Column 3 of triangle A123610. A123613

<h[d,d],s[d,d]*s[d,d]*s[d,d]> where h[d,d] is a homogeneous symmetric function, s[d,d] is a Schur function indexed by two parts, * represents the Kronecker product and <, > is the standard scalar product on symmetric functions. A115375

Numbers k such that A033461(k) is divisible by k. A304028

Number of base 24 circular n-digit numbers with adjacent digits differing by 2 or less. A124952

Number of binary strings of length n with equal numbers of 001 and 011 substrings. A164142

Number of (n+1) X (4+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. A250765

A triangle sequence of polynomial coefficients: p(x,n)=(-1)^{n + 1}*(x - 1)^{3·n + 1}*Sum[(Binomial[m, n]* Binomial[m + 1, n + 1]/(m - n + 1))*(m + 1)^ n·x^m, {m, 0, Infinity}]/(xⁿ); t(n,m)=coefficients(p(x,n)). A155756

Number of isomers of alkyl homologs of adamantane with n carbon atoms. A36996