Properties of the Number 73896

Seventy-Three Thousand Eight Hundred Ninety-Six

Basics

Value: 73895 → 73896 → 73897

Parity: even

Prime: No

Previous Prime: 73883

Next Prime: 73897

Digit Sum: 33

Digital Root: 6

Palindrome: No

Factorization: 2 ³ × 3 × 3079

Divisors: 1, 2, 3, 4, 6, 8, 12, 24, 3079, 6158

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10010000010101000

Octal: 220250

Duodecimal: 36920

Hexadecimal: 120a8

Square: 5460618816

Square Root: 271.8381871628782

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 s(q)⁴ in powers of q where s() is a cubic AGM function. A133078

Number of up-down cycles in all permutations of {1,2,...,n}. A cycle (b(1), b(2), ...) is said to be up-down if, when written with its smallest element in the first position, it satisfies b(1)<b(2)>b(3)<... . A186360

Number of Dyck paths of semilength n such that neighboring peaks have different heights. A371705

Number of partitions p of n such that max(p) - (number of parts of p) is not a part of p. A238545

a(1) = 1, a(n) = a(n-1) + k where k is smallest prime or composite number not used earlier according as a(n-1) is nonprime or prime. A73896