Properties of the Number 10823

Ten Thousand Eight Hundred Twenty-Three

Basics

Value: 10822 → 10823 → 10824

Parity: odd

Prime: No

Previous Prime: 10799

Next Prime: 10831

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 79 × 137

Divisors: 1, 79, 137, 10823

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101001000111

Octal: 25107

Duodecimal: 631B

Hexadecimal: 2a47

Square: 117137329

Square Root: 104.03364840281245

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

Number of non-isomorphic achiral multiset partitions of weight n. A330223

a(n)=a(n-1)+a(m), where m=2n-2-2^p+1 and 2^p<n-1<=2^p+1, for n >= 4. A50059

Number of partitions of n into Fibonacci parts (with 2 types of 1). A7000

Column 0 of the matrix log of triangle A117401, after term in row n is multiplied by n: a(n) = n*[log(A117401)](n,0), where A117401(n,k) = 2^k*(n-k). A118197

Numbers that form a Pythagorean 7-tuple with their first five arithmetic derivatives. A249107

Expansion of ∏_k>=1 1 / (1 - x^k)^{k*(3·k + 2}). A294692

Solution (a(n)) of the complementary equation a(n) = 2·a(n-1) - a(n-2) + b(n-2); see Comments. A305329

Numbers k such that the string k modulo 1000 is found at position k in the decimal digits of π. A153226

Irregular triangle read by rows: row n lists the lines of a "normal" proof (see comments) for the MIU formal system string (theorem) given by A369173(n+1). A369409

Number of {2,3}-regular graphs; i.e., labeled simple graphs (no multi-edges or loops) on n vertices, each of degree 2 or 3. A110040