Properties of the Number 18949

Eighteen Thousand Nine Hundred Forty-Nine

Basics

Value: 18948 → 18949 → 18950

Parity: odd

Prime: No

Previous Prime: 18947

Next Prime: 18959

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 7 × 2707

Divisors: 1, 7, 2707, 18949

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100101000000101

Octal: 45005

Duodecimal: AB71

Hexadecimal: 4a05

Square: 359064601

Square Root: 137.6553667678816

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 squares on infinite chessboard at <= n knight's moves from a fixed square. A18836

Numbers n such that Maple 9.5, Maple 10, Maple 11 and Maple 12 give the wrong answers for the number of partitions of n. A110375

Number of ways to write n as an ordered sum of seven positive Fibonacci numbers (with a single type of 1). A357694

Numerators of continued fraction convergents to sqrt(481). A41918

For 1<=x<=n, 1<=y<=n, with gcd(x,y)=1, write 1 = gcd(x,y) = u·x+v·y with u,v minimal; a(n) = sum of the values of u²+v². A345431

a(n) = (∑_i=1..n-1 i^n-2) mod n³. A284759

Number of n X 4 binary arrays with each 1 adjacent to exactly two other 1s. A183325

Triangle read by rows: T(n,k) is the number of permutations of {1,2,...,n} having k blocks of length 2 (0 <= k <= floor(n/2)). A block of a permutation is a maximal sequence of consecutive integers which appear in consecutive positions. For example, the permutation 5412367 has 4 blocks: 5, 4, 123, and 67; one of them is of length 2. A184183

Partial sums of A147562. A272928

G.f. A(x) satisfies: 0 = ∑_n>=1 (Lucas(n) - A(x))ⁿ * xⁿ/n, where Lucas(n) = A000204(n). A353050