Properties of the Number 8823

Eight Thousand Eight Hundred Twenty-Three

Basics

Value: 8822 → 8823 → 8824

Parity: odd

Prime: No

Previous Prime: 8821

Next Prime: 8831

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 17 × 173

Divisors: 1, 3, 17, 51, 173, 519, 2941, 8823

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001001110111

Octal: 21167

Duodecimal: 5133

Hexadecimal: 2277

Square: 77845329

Square Root: 93.93082561119114

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

Every run of digits of n in base 16 has length 2. A33014

Number of n-node rooted trees of height 3. A235

T(n,k)=Number of length n+5 0..k arrays with no six consecutive terms having the maximum of any two terms equal to the minimum of the remaining four terms. A249960

First column of triangle in A176452. A176485

T(n,k)=Number of -k..k arrays x(0..n-1) of n elements with zero sum, and adjacent elements not both strictly positive and not both strictly negative. A199898

a(n) = (9·n² + 5·n + 2)/2. A64225

Number of strict chains of divisors in A130091 (numbers with distinct prime multiplicities) starting with the superprimorial A006939(n) and ending with 1. A336942

Absolute value of coefficient of term [x^n-8] in characteristic polynomial of maximum matrix A of size n X n, where n >= 8. Maximum matrix A(i,j) is MAX(i,j), where indices i and j run from 1 to n. A112464

Numbers n such that (n+j) mod (2+j) = 1 for j from 0 to 5 and (n+6) mod 8 <> 1. A96024

Truncated triangular pyramid numbers: a(n) = ∑_k=4..n (k*(k+1)/2 - 9). A51937