Properties of the Number 89613

Eighty-Nine Thousand Six Hundred Thirteen

Basics

Value: 89612 → 89613 → 89614

Parity: odd

Prime: No

Previous Prime: 89611

Next Prime: 89627

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 3319

Divisors: 1, 3, 9, 27, 3319, 9957, 29871, 89613

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10101111000001101

Octal: 257015

Duodecimal: 43A39

Hexadecimal: 15e0d

Square: 8030489769

Square Root: 299.35430513022527

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..1 arrays with each 1 horizontally, vertically or antidiagonally adjacent to 1, 2 or 4 neighboring 1s. A296643

Number of 5 X n 0..2 arrays with horizontal differences mod 3 never 1, vertical differences mod 3 never -1, and rows and columns lexicographically nondecreasing. A229448

Number of nX3 0..1 arrays with each 1 horizontally, vertically or antidiagonally adjacent to 1, 2 or 4 neighboring 1s. A296638

Number of nX7 0..1 arrays with each 1 horizontally, vertically or antidiagonally adjacent to 1, 2 or 4 neighboring 1s. A296642

"The partial sums of the positions where T occurs in this sentence are one, eight, twentyfive, fortynine, eightythree, onehundredtwentysix, ..." (Variation of Aronson's sequence). A89613