Properties of the Number 67287

Sixty-Seven Thousand Two Hundred Eighty-Seven

Basics

Value: 67286 → 67287 → 67288

Parity: odd

Prime: No

Previous Prime: 67273

Next Prime: 67289

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 3 × 11 × 2039

Divisors: 1, 3, 11, 33, 2039, 6117, 22429, 67287

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000011011010111

Octal: 203327

Duodecimal: 32B33

Hexadecimal: 106d7

Square: 4527540369

Square Root: 259.39737855267543

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

Expansion of g.f. A(x) satisfying A(x)² = A( A(x)*(x + A(x)²) ). A371713

Number of series-reduced rooted trees whose leaves are strict integer partitions whose multiset union is an integer partition of n. A320175

a(n) = 301·binomial(n-1,8)+52·binomial(n-1,7)+binomial(n-1,6). A274503

n sets a new record for the number of integers k such that k is not of the form m + reverse(m) for any m and n occurs in the 'Reverse and Add' trajectory of k (cf. A067284). A67287

Irregular triangle T(n,k) (n >= 0, k >= 2) read by rows. Consider the planar graph formed from an equilateral triangle with n equally spaced points placed on each edge, as discussed in A092867(n+1). Then T(n,k) is the number of interior points where exactly k chords cross. A366479