Properties of the Number 89000

Eighty-Nine Thousand

Basics

Value: 88999 → 89000 → 89001

Parity: even

Prime: No

Previous Prime: 88997

Next Prime: 89003

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 ³ × 5 ³ × 89

Divisors: 1, 2, 4, 5, 8, 10, 20, 25, 40, 50

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 10101101110101000

Octal: 255650

Duodecimal: 43608

Hexadecimal: 15ba8

Square: 7921000000

Square Root: 298.328677803526

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 (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00010101 01010101 or 01010111. A260138

Denominators of continued fraction convergents to sqrt(657). A42263

Coefficient of·in minimal polynomial of the continued fraction [1ⁿ,1/2,1,1,1,...], where 1ⁿ means n ones. A266700

G.f. satisfies: A(x) = 1 + x·A(x) / ( A(I·x)*A(-I·x) ). A216683

Number of (n+2)X(n+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00010101 01010101 or 01010111. A260130

Number of (n+2)X(5+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00010101 01010101 or 01010111. A260135

Number of nonempty subsets of {1,2,...,n} in which exactly 3/4 of the elements are <= (n-3)/3. A48031

a(n) = (8·sqrt(5)/25)((sqrt(5) + 2)((15 + 5·sqrt(5))/2)ⁿ + (sqrt(5) - 2)((15 - 5·sqrt(5))/2)ⁿ). A109105

Numbers n = d_0d_1...d_n (n < 10) such that d_i is the number of digits equal to i in n (base b), where b is less than 10. A260387

G.f. satisfies: A(x) = 1 + x*∑_n>=0 (A(x)⁵ - 1)ⁿ. A192948