Properties of the Number 83658

Eighty-Three Thousand Six Hundred Fifty-Eight

Basics

Value: 83657 → 83658 → 83659

Parity: even

Prime: No

Previous Prime: 83653

Next Prime: 83663

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 73 × 191

Divisors: 1, 2, 3, 6, 73, 146, 191, 219, 382, 438

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10100011011001010

Octal: 243312

Duodecimal: 404B6

Hexadecimal: 146ca

Square: 6998660964

Square Root: 289.23692710302396

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

T(n,k)=Number of nXk 0..3 arrays with no element equal to zero plus the sum of elements to its left or two plus the sum of the elements above it or one plus the sum of the elements diagonally to its northwest, modulo 4. A239986

a(n) = 2·a(n-1) - a(n-3) + a(floor(n/2)), where a(0) = 1, a(1) = 1, a(2) = 1. A298402

Number of n X 2 0,1 arrays indicating 2 X 2 subblocks of some larger (n+1) X 3 binary array having a sum of one or less, with rows and columns of the latter in lexicographically nondecreasing order. A227161

Number of nX5 0..3 arrays with no element equal to zero plus the sum of elements to its left or two plus the sum of elements above it or one plus the sum of the elements diagonally to its northwest, modulo 4. A239983

Number of 6Xn 0..3 arrays with no element equal to zero plus the sum of elements to its left or two plus the sum of the elements above it or one plus the sum of the elements diagonally to its northwest, modulo 4. A239990

a(n) = a(n-1) + a(n-2) + gcd(a(n-1), a(n-2)) for n > 1; a(0)=1, a(1)=1. A83658