Properties of the Number 16829

Sixteen Thousand Eight Hundred Twenty-Nine

Basics

Value: 16828 → 16829 → 16830

Parity: odd

Prime: Yes

Previous Prime: 16823

Next Prime: 16831

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 16829

Divisors: 1, 16829

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 100000110111101

Octal: 40675

Duodecimal: 98A5

Hexadecimal: 41bd

Square: 283215241

Square Root: 129.72663566130126

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 of the form 36·k² - 810·k + 2753, listed in order of increasing parameter k >= 0. A50268

Primes p such that the number of distinct prime divisors of all composite numbers between p and the next prime is 5. A75585

Triangular array E(n,k) counting not necessarily connected k-regular simple graphs on n vertices with girth at least 4. A185304

Number of not necessarily connected 4-regular simple graphs on n vertices with girth exactly 4. A185144

Number of not necessarily connected 4-regular simple graphs on n vertices with girth at least 4. A185344

Triangular array E(n,k) counting, not necessarily connected, k-regular simple graphs on n vertices with girth exactly 4. A185644

Numbers k such that k·2^m-1 are composites for all exponents m in the range 0<=m<=k. A61154

a(n) = 36·n² - 810·n + 2753, producing the conjectured record number of 45 primes in a contiguous range of n for quadratic polynomials, i.e., abs(a(n)) is prime for 0 <= n < 44. A117081

Primes dividing terms of A231830. A362252

Primes of the form 36·n² - 810·n + 2753, n >= 0, sorted. A22464