Properties of the Number 83355

Eighty-Three Thousand Three Hundred Fifty-Five

Basics

Value: 83354 → 83355 → 83356

Parity: odd

Prime: No

Previous Prime: 83341

Next Prime: 83357

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 5 × 5557

Divisors: 1, 3, 5, 15, 5557, 16671, 27785, 83355

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10100010110011011

Octal: 242633

Duodecimal: 402A3

Hexadecimal: 1459b

Square: 6948056025

Square Root: 288.7126599233224

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. C(x) satisfies: C'(x) = A(x)*B(x) such that C(x)² - A(x)² = 8 and C(x)² - B(x)² = 5, where A(x) and B(x) are the e.g.f.s of A292121 and A292122, respectively. A292123

Expansion of 1/(1 - x*∏_k>=1 1/(1 + x^k)^k). A299212

Numerators of continued fraction convergents to sqrt(935). A42808

a(n) = T(n, 2·n-5), T given by A027926. A27928

Number of preferential arrangements for the set partitions of the n-set [1,2,3,...,n]. A83355

E.g.f.: A(x) + B(x) + C(x) where A'(x) = B(x)*C(x), B'(x) = A(x)*C(x), and C'(x) = A(x)*B(x), where A(x), B(x), and C(x) are the e.g.f.s of A292121, A292122, and A292123, respectively. A292120

E.g.f. A(x) satisfies: A'(x) = B(x)*C(x) such that B(x)² - A(x)² = 3 and C(x)² - A(x)² = 8, where B(x) and C(x) are the e.g.f.s of A292122 and A292123, respectively. A292121

E.g.f. B(x) satisfies: B'(x) = A(x)*C(x) such that B(x)² - A(x)² = 3 and C(x)² - B(x)² = 5, where A(x) and C(x) are the e.g.f.s of A292121 and A292123, respectively. A292122

E.g.f. D(x) = A(x)*B(x)*C(x) where A(x), B(x), and C(x) are the e.g.f.s of A292121, A292122, and A292123, respectively. A292124