Properties of the Number 19286

Nineteen Thousand Two Hundred Eighty-Six

Basics

Value: 19285 → 19286 → 19287

Parity: even

Prime: No

Previous Prime: 19273

Next Prime: 19289

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 2 × 9643

Divisors: 1, 2, 9643, 19286

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100101101010110

Octal: 45526

Duodecimal: B1B2

Hexadecimal: 4b56

Square: 371949796

Square Root: 138.87404365107253

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

Matula-Goebel numbers of semi-lone-child-avoiding rooted identity trees. A331963

Convolution of natural numbers >= 3 and Fibonacci numbers. A23552

Number of compositions (ordered partitions) of n into distinct parts such that the smallest part is equal to the number of parts. A339446

Triangle read by rows: T(n,k) is the number of Motzkin paths of length n having k ascents (0<=k<=floor(n/2)); an ascent is a maximal string of upsteps. A114580

Triangle read by rows, based on a simple Jacobsthal number recursion rule. A114163

Number of n X n binary arrays with rows and columns, considered as binary numbers, in nondecreasing order, and no more than 4 ones in any row or column. A162046

Number of binary words w of length n such that the number of distinct blocks of length k that w contains is <= k+2 for all k. A297526

Let sigma_m (n) be result of applying sum-of-divisors function m times to n; call n (m,k)-perfect if sigma_m (n) = k·n; sequence gives the (2,9)-perfect numbers. A19286

Square table defined by T(n,k) = ∑_{m=k(k+1)/2..k(k+1)/2+k} [x^m] S(x)ⁿ for n>=1, k>=0, where S(x) = ∑_n>=0 x⁽ⁿ⁺¹(n+2)/2-1), as read by antidiagonals. A162424