Properties of the Number 286

Two Hundred Eighty-Six

Basics

Value: 285 → 286 → 287

Parity: even

Prime: No

Previous Prime: 283

Next Prime: 293

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 × 11 × 13

Divisors: 1, 2, 11, 13, 22, 26, 143, 286

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: Yes

Tetrahedral: Yes

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Representations

Binary: 100011110

Octal: 436

Duodecimal: 1BA

Hexadecimal: 11e

Square: 81796

Square Root: 16.911534525287763

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

Tetrahedral (or triangular pyramidal) numbers: a(n) = C(n+2,3) = n*(n+1)*(n+2)/6. A292

Number of unlabeled rooted trees with n nodes (or connected functions with a fixed point). A81

The squarefree numbers ordered lexicographically by their prime factorization (with factors written in decreasing order). a(n) = ∏_{k in I} prime(k+1), where I is the set of indices of nonzero binary digits in n = ∑_{k in I} 2^k. A19565

Heptagonal numbers (or 7-gonal numbers): n*(5·n-3)/2. A566

Sphenic numbers: products of 3 distinct primes. A7304

Finitary numbers. Matula-Goebel numbers of rooted identity trees. A276625

Number of partitions of n into divisors of n. A18818

Number of partitions p of n such that median(p) = mean(p). A240219

Nontotients: even numbers k such that φ(m) = k has no solution. A5277

Rectangular array T(n,k): (row n) = b**c, where b(h) = h, c(h) = h + n - 1, n >= 1, h >= 1, and ** = convolution. A213500