Properties of the Number 78486

Seventy-Eight Thousand Four Hundred Eighty-Six

Basics

Value: 78485 → 78486 → 78487

Parity: even

Prime: No

Previous Prime: 78479

Next Prime: 78487

Digit Sum: 33

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 103 × 127

Divisors: 1, 2, 3, 6, 103, 127, 206, 254, 309, 381

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011001010010110

Octal: 231226

Duodecimal: 39506

Hexadecimal: 13296

Square: 6160052196

Square Root: 280.1535293370405

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

Group the natural numbers such that the n-th group sum is divisible by prime(n): (1, 2, 3), (4, 5), (6, 7, 8, 9), (10, 11), (12, 13, 14, 15, 16, 17, 18, 19, 20, 21), ... Sequence contains the sum of the terms in the n-th group. A86491

Triangle read by rows: T(n,k) is the number of dispersed Dyck paths of length n (i.e., Motzkin paths of length n with no (1,0)-steps at positive heights) having k DHU's (here U=(1,1), H=(1,0), and D=(1,-1)). A191397

Number of dispersed Dyck paths of length n (i.e., Motzkin paths of length n with no (1,0)-steps at positive heights) having no DHU's (here U=(1,1), H=(1,0), and D=(1,-1)). A191398

a(n) = n! * ∑_k=1..n k^k / k!. A374844

Expansion of (x-7·x²+19·x³-21·x⁴+10·x⁵-6·x⁶) / (1-9·x+31·x²-53·x³+44·x⁴-16·x⁵+6·x⁶). A78486