Properties of the Number 9829

Nine Thousand Eight Hundred Twenty-Nine

Basics

Value: 9828 → 9829 → 9830

Parity: odd

Prime: Yes

Previous Prime: 9817

Next Prime: 9833

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 9829

Divisors: 1, 9829

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011001100101

Octal: 23145

Duodecimal: 5831

Hexadecimal: 2665

Square: 96609241

Square Root: 99.14131328563285

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

Primes with 10 as smallest positive primitive root. A61323

Primes that remain prime when a single digit 9 is inserted between any two consecutive digits or as the leading or trailing digit. A215421

Primes of the form 26k+1 generated recursively. Initial prime is 53. General term is a(n) = Min {p is prime; p divides (R¹³ - 1)/(R - 1); p == 1 (mod 13)}, where Q is the product of previous terms in the sequence and R = 13·Q. A125037

T(n,k)=Hilltop maps: number of nXk binary arrays indicating the locations of corresponding elements not exceeded by any horizontal or antidiagonal neighbor in a random 0..1 nXk array. A221446

Primes that divide at least one term of Sylvester's sequence s = A000058: s(n+1) = s(n)² - s(n) + 1, s(0) = 2. A7996

Cogrowth sequence of the 12-element group C6 X C2 = <S,T | S⁶, T², [S,T]>. A377627

Prefixing, suffixing or inserting a 9 in the number anywhere gives a prime. A69833

Canyon primes. A134971

Centered 28-gonal numbers. A195314

a(n) = 1 + n*(n+1)*(n-1)/2. A158842