Properties of the Number -7802

Eight Hundred Two

Basics

Value: -7803 → -7802 → -7801

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 × 47 × 83

Divisors: 1, 2, 47, 83, 94, 166, 3901, 7802

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -1111001111010

Octal: -17172

Duodecimal: -4622

Hexadecimal: -1e7a

Square: 60871204

Square Root: 88.32893070789434

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 q^-1 * (χ(-q) * χ(-q⁹) / χ(-q³)²)⁶ in powers of q where χ() is a Ramanujan θ function. A128512

Expansion of q * (f(q⁹) / f(q))³ in powers of q where f() is a Ramanujan θ function. A227454

Number of integer partitions of n whose length times maximum is a multiple of n. A326849

Let m = number of ways of partitioning n into parts using all the parts of a subset of {1, 2, ..., n-1} whose sum of all parts of a subset is less than n; a(n) gives number of different subsets of {1, 2, ..., n-1} whose m is 0. A88528

Let f(k) = exp(π*sqrt(k)); sequence gives numbers k such that ceiling(f(k)) - f(k) < 1/10³. A127022

T(n,k) = Number of n X k 0..1 arrays with the number of 1's king-move adjacent to some 0 equal to the number of 0's adjacent to some 1, with top left element zero. A284113

Series expansion of (η(q⁹) / η(q))³ in powers of q. A121589

a(n) = A087803(n) - n + 1. A255170

Decimal representation of the diagonal from the corner to the origin of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 483", based on the 5-celled von Neumann neighborhood. A288590

a(n) is the smallest number that is the sum of n positive 5th powers in three ways. A343083