Properties of the Number 10829

Ten Thousand Eight Hundred Twenty-Nine

Basics

Value: 10828 → 10829 → 10830

Parity: odd

Prime: No

Previous Prime: 10799

Next Prime: 10831

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 7 ² × 13 × 17

Divisors: 1, 7, 13, 17, 49, 91, 119, 221, 637, 833

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101001001101

Octal: 25115

Duodecimal: 6325

Hexadecimal: 2a4d

Square: 117267241

Square Root: 104.06248123122954

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

a(n) = a(n-1) + a(n-6), with a(i) = 1 for i = 0..5. A5708

Triangle related to the divergent series 1^m*1! - 2^m*2! + 3^m*3! - 4^m*4! + ... for m >= -1. A163940

Dimensions of the irreducible representations of the simple Lie algebra of type F4 over the complex numbers, listed in increasing order. A121738

For any number n take the polynomial formed by the product of the terms (x-π), where π's are the prime factors of n. Then calculate the area between the minimum and the maximum value of the prime factors. This sequence lists the numbers for which the area is equal to zero. A203614

Numbers k such that k divides A163511(k). A364494

Zero, together with positive numbers k such that prime(k) + k is a square. A64371

Odd numbers k such that k divides A163511(k). A364495

Number of partitions of n into 6 distinct and relatively prime parts. A341870

Expansion of 1/(1 - x⁶ - x⁷ - x⁸ - ...). A17900

a(n) = ∑_{k=0..floor(n/3)} binomial(2·n-5·k,k). A373639