Properties of the Number 83664

Eighty-Three Thousand Six Hundred Sixty-Four

Basics

Value: 83663 → 83664 → 83665

Parity: even

Prime: No

Previous Prime: 83663

Next Prime: 83689

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ⁴ × 3 ² × 7 × 83

Divisors: 1, 2, 3, 4, 6, 7, 8, 9, 12, 14

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100011011010000

Octal: 243320

Duodecimal: 40500

Hexadecimal: 146d0

Square: 6999664896

Square Root: 289.2472990366548

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

Triangle T(n,k), 0 <= k <= n, read by rows, defined by T(0,0) = 1; T(0,k) = 0 if k>0 or if k<0; T(n,k) = k·T(n-1,k-1) + (k+1)*T(n-1,k+1). A104035

Triangle of coefficients in expansion of Dⁿ (sec x) / sec·in powers of tan x. A8294

Triangle T(n,k) (n>=0, 0<=k<=n) read by rows: T(0,0)=T(1,1)=1; T(n,0) is the Euler number A000111(n-1) for n>=1; T(n,n-1) = T(n,n) = (n-2)! for n>=2; interior entries are given by T(n,k) = m·T(n-1,k-1)+(k+1)*T(n-1,k+1) where m = k if n+k is even or k-1 if n+k is odd. A350970

Numbers k such that k and k² use only the digits 3, 4, 6, 8 and 9. A137129

Triangle read by rows: T(n,k) = value of (d²ⁿ/dx²ⁿ) (tan^2k(x)/cos(x)) at the point x = 0. A151775

Final terms in rows of triangle A256600. A256599

T(n,n-5), where T(*,*) is A350970. A350973

a(1) = 1, a(n) = if n mod 10 = 0 then n else smallest number m, not occurring earlier such that m·a(n-d) is a palindrome, where d = if n mod 10 = 1 then 2 else 1. A83664

Triangle, read by rows consisting of terms T(n,k), k=0..2ⁿ-1, where row n+1 equals the concatenation of the partial sums of the prior row with itself. A256600