Properties of the Number 80105

Eighty Thousand One Hundred Five

Basics

Value: 80104 → 80105 → 80106

Parity: odd

Prime: No

Previous Prime: 80077

Next Prime: 80107

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 5 × 37 × 433

Divisors: 1, 5, 37, 185, 433, 2165, 16021, 80105

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011100011101001

Octal: 234351

Duodecimal: 3A435

Hexadecimal: 138e9

Square: 6416811025

Square Root: 283.0282671395209

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

G.f. satisfies A(x) = 1 + x·A(x)/(1 - x³*A(x)²). A365243

Least number k such that k! in binary representation contains a run of exactly n consecutive nontrivial zeros. A94010

a(n) = p(5n+4)/5 where p(k) denotes the k-th partition number. A71734

a(n) = p(7n+5)/7 where p(k) denotes the k-th partition number. A71746

a(n) = p(11n+6)/11 where p(n) = number of partitions of n (A000041). A76394

a(n) = p(7·n + 5), where p(k) = number of partitions of k = A000041(k). A213261

p(11n+6) where p(k) = number of partitions of k = A000041(k). A213256

p(5n+4) where p(k) = number of partitions of k = A000041(k). A213260

a(n) = round(113*φⁿ). A80105

Partition numbers A000041(k·x_n + y_n) are known to be divisible by prime(n); sequence gives the list of y_n. A333435