Properties of the Number 30369

Thirty Thousand Three Hundred Sixty-Nine

Basics

Value: 30368 → 30369 → 30370

Parity: odd

Prime: No

Previous Prime: 30367

Next Prime: 30389

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 53 × 191

Divisors: 1, 3, 53, 159, 191, 573, 10123, 30369

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 111011010100001

Octal: 73241

Duodecimal: 156A9

Hexadecimal: 76a1

Square: 922276161

Square Root: 174.26703646989583

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 connected regular graphs with n nodes and girth at least 7. A186727

Convolution of triangular numbers with partition numbers. A86716

Irregular triangle T(n, k) = [x^k]( p(n, x) ), where p(n, x) = (1/x)*(1-x)^3·n+1*∑_{k >= 0} (k*(k+1)*(2·k+1)/6)ⁿ*x^k and p(0, x) = 1, read by rows. A174264

Length of shortest prefix of the Kolakoski sequence K (A000002) containing all blocks of length n that appear in K. A283511

Number of 3Xn arrays of the minimum value of corresponding elements and their horizontal or diagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..2 3Xn array. A220155

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 486", based on the 5-celled von Neumann neighborhood. A272508

A triangle sequence of polynomial coefficients: p(x,n)=(x - 1)^{3·n + 1}*Sum[(k*(k + 1)*(2·k + 1)/6)ⁿ*x^k, {k, 0, Infinity}]/x. A154284

Length of n-th run of digit 1 in A030363. A30369