Properties of the Number 8891

Eight Thousand Eight Hundred Ninety-One

Basics

Value: 8890 → 8891 → 8892

Parity: odd

Prime: No

Previous Prime: 8887

Next Prime: 8893

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 17 × 523

Divisors: 1, 17, 523, 8891

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 10001010111011

Octal: 21273

Duodecimal: 518B

Hexadecimal: 22bb

Square: 79049881

Square Root: 94.29209935090002

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 every element equal to 2, 3, 5, 6 or 8 king-move adjacent elements, with upper left element zero. A298895

Expansion of ∏_k>=1 ((1 - x^7*(2·k-1)) * (1 - x^7·k) / (1 - x^k)). A280937

Number of ways in which n identical balls can be distributed among 7 boxes in a row such that each pair of adjacent boxes contains at least 4 balls. A5340

Record values in A132601. A132603

a(n) = ∑_i=0..n digsum₆(i)⁴, where digsum₆(i) = A053827(i). A231675

Number of solutions to x² + y² + z² + w² <= n², where x, y, z, w are positive odd integers. A349611

Number of inequivalent (ordered) solutions to n² = sum of 7 squares of integers >= 0. A65461

a(n) = 6·n*(n-1) - 1. A103115

Coefficient of·in the reduction by x²->x+1 of the polynomial p(n,x) defined below in Comments. A192755

Number of ways, counted up to symmetry, to build a contiguous building with n LEGO blocks of size 1 X 2 which is flat, i.e., with all blocks in parallel position and symmetric after a rotation by 180 degrees. A123765