Properties of the Number 83964

Eighty-Three Thousand Nine Hundred Sixty-Four

Basics

Value: 83963 → 83964 → 83965

Parity: even

Prime: No

Previous Prime: 83939

Next Prime: 83969

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 2 ² × 3 × 6997

Divisors: 1, 2, 3, 4, 6, 12, 6997, 13994, 20991, 27988

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100011111111100

Octal: 243774

Duodecimal: 40710

Hexadecimal: 147fc

Square: 7049953296

Square Root: 289.7654223678181

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

a(n) = floor(6ⁿ/(2+2·cos(π/9))ⁿ). A240733

Integers j not of form 3m+2 such that for any integer k > 0, j·10^k+1 has a divisor in the set { 7, 11, 13, 37 }. A243969

Number of rooted trees with n nodes such that six equals the maximal number of isomorphic subtrees extending from the same node. A318863

Number of permutations of length n which avoid the patterns 1243, 2341, 4321. A116825

Smallest palindromic multiple of 2·n-1 beginning with the digit string of 2·n-1; or 0 if no such number exists. A83964