Properties of the Number 78112

Seventy-Eight Thousand One Hundred Twelve

Basics

Value: 78111 → 78112 → 78113

Parity: even

Prime: No

Previous Prime: 78101

Next Prime: 78121

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ⁵ × 2441

Divisors: 1, 2, 4, 8, 16, 32, 2441, 4882, 9764, 19528

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011000100100000

Octal: 230440

Duodecimal: 39254

Hexadecimal: 13120

Square: 6101484544

Square Root: 279.48524111301475

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

E.g.f. satisfies A(x) = exp(x + x·A(x)²). A362694

Positions of integers in the sequence (or tree) S generated in order by these rules: 0 is in S; if·is in S then x + 1 is in S; if nonzero·is in S then 1/x is in S; if·is in S, then i·x is in S; where duplicates are deleted as they occur. A233696

Maximal coefficient of (1 - x) * (1 - x⁴) * (1 - x⁹) * ... * (1 - x^n²). A369728

a(n) gives the position of -n in the sequence (or tree) S generated in order by these rules: 0 is in S; if·is in S then x + 1 is in S; if nonzero·is in S then 1/x is in S; if·is in S, then i·x is in S; where duplicates are deleted as they occur. A233695

Coefficients a(n) in the unique expansion sin(1) = Sum[a(n)/n!, n>=1], where a(n) satisfies 0<=a(n)<n. A78112

Series reversion of x + 2·x² + x⁴. A217362