Properties of the Number 78001

Seventy-Eight Thousand One

Basics

Value: 78000 → 78001 → 78002

Parity: odd

Prime: No

Previous Prime: 77999

Next Prime: 78007

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 7 × 11 × 1013

Divisors: 1, 7, 11, 77, 1013, 7091, 11143, 78001

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011000010110001

Octal: 230261

Duodecimal: 39181

Hexadecimal: 130b1

Square: 6084156001

Square Root: 279.28659115682586

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

a(n) = ∑_{1 <= x₁, x₂, x₃, x₄ <= n} ( n/gcd(x₁, x₂, x₃, x₄, n) )³. A372964

G.f.: (1 + x³ + x⁴ + ... + x¹² + x¹⁵)/∏_i=1..10 (1 - xⁱ). A3403

Expansion of (1-x)/(1-2·x+x²+x³). A78001