Properties of the Number 18164

Eighteen Thousand One Hundred Sixty-Four

Basics

Value: 18163 → 18164 → 18165

Parity: even

Prime: No

Previous Prime: 18149

Next Prime: 18169

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ² × 19 × 239

Divisors: 1, 2, 4, 19, 38, 76, 239, 478, 956, 4541

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 100011011110100

Octal: 43364

Duodecimal: A618

Hexadecimal: 46f4

Square: 329930896

Square Root: 134.77388471065157

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 T(n,k) of permutations of [n] with exactly k distinct lengths of increasing runs; triangle T(n,k), n>=0, 0<=k<=A003056(n), read by rows. A317327

a(n) = ∑_i=1..n σ(i)*σ(i+1), where σ(n) = A000203(n) is the sum of the divisors of n. A330322

Number of quadrilateral regions in a "frame" of size n X n (see Comments in A331776 for definition), divided by 8. A332596

Numbers n such that Catalan(n)-1 is prime. A53427

In base 4, n sets a new record for the number of Reverse and Add! steps needed to reach a palindrome starting with n. A75686

Square array A(n,k), n>=0, k>=0, read by antidiagonals, where column k is the expansion of ∏_j>=1 (1 - j^k*x^j)^j. A294580

In base 4, smallest number that requires n Reverse and Add! steps to reach a palindrome. A77441

Number of permutations of length n which avoid the patterns 2341, 4213. A116709

Determinants of 3 X 3 matrices of discrete blocks of 9 consecutive primes. A117329

Numerator of Hermite(n, 8/15). A159517