Properties of the Number 17830

Seventeen Thousand Eight Hundred Thirty

Basics

Value: 17829 → 17830 → 17831

Parity: even

Prime: No

Previous Prime: 17827

Next Prime: 17837

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 × 5 × 1783

Divisors: 1, 2, 5, 10, 1783, 3566, 8915, 17830

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100010110100110

Octal: 42646

Duodecimal: A39A

Hexadecimal: 45a6

Square: 317908900

Square Root: 133.52902306240392

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) = 7ⁿ+4ⁿ-1ⁿ. A155618

a(n) = A027052(n, 2n-5). A27061

Triangle read by rows: A001263·A128064·A000012 as infinite lower triangular matrices. A136536

Expansion of ( 1 + 4 * ∑_k>=0 x^{2^k}/(1 - x^{2^k}) )^1/2. A382333

Number of trees in an n-node wheel. A2985

Numbers k such that 10^k*(4+3·10^k)+3 is prime. A171582

Triangle t(n,m)= binomial(n+m-1,n-1) + binomial(2·n-m-1,n-1) -binomial(2·n-1,n-1) read by rows, 0<=m<=n. A174952

Number of 2 X n arrays of the minimum value of corresponding elements and their horizontal, vertical or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..3 2 X n array. A220011

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 131", based on the 5-celled von Neumann neighborhood. A270223

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, 0, 0), (0, -1, 0), (0, 1, 1), (1, 1, -1), (1, 1, 1)}. A150996