Properties of the Number 83736

Eighty-Three Thousand Seven Hundred Thirty-Six

Basics

Value: 83735 → 83736 → 83737

Parity: even

Prime: No

Previous Prime: 83719

Next Prime: 83737

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ³ × 3 ² × 1163

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100011100011000

Octal: 243430

Duodecimal: 40560

Hexadecimal: 14718

Square: 7011717696

Square Root: 289.3717332428999

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

Irregular triangle read by rows: T(n,k) = ∑_i=0..k (-1)ⁱ * binomial(3·n+1,i) * binomial(k+3-i,3)ⁿ, 0 <= k <= 3*(n-1). A174266

Number A(n,k) of endofunctions f on [2n] satisfying f^k(i) = i for all i in [n]; square array A(n,k), n>=0, k>=0, read by antidiagonals. A246070

Number T(n,k) of endofunctions f on [n] that are self-inverse on [k]; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A245348

Row 4 in rectangular array A292929. A294067

G.f.: A(x) = INV(x - x·INV(x - 2·x*INV(x - 3·x*INV(x - 4·x*INV(x - ...))))), where INV(F(x)) = series reversion of F(x). A195194

Number of endofunctions f on [2n] that are self-inverse on [n]. A245141

Number of permutations of 3 indistinguishable copies of 1..n with exactly 2 adjacent element pairs in decreasing order. A151632

Number of 4 X n binary arrays without the pattern 0 1 diagonally, vertically, antidiagonally or horizontally. A188555

Number of n-node rooted trees in which seven equals the maximal number of nodes in paths starting at a leaf and ending at the first branching node or at the root. A318903

Pseudoprimes to bases 2,5 and 7. A83736