Properties of the Number 78369

Seventy-Eight Thousand Three Hundred Sixty-Nine

Basics

Value: 78368 → 78369 → 78370

Parity: odd

Prime: No

Previous Prime: 78367

Next Prime: 78401

Digit Sum: 33

Digital Root: 6

Palindrome: No

Factorization: 3 × 151 × 173

Divisors: 1, 3, 151, 173, 453, 519, 26123, 78369

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011001000100001

Octal: 231041

Duodecimal: 39429

Hexadecimal: 13221

Square: 6141700161

Square Root: 279.9446373838942

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

Number of integer compositions of n with all distinct even-indexed parts and all distinct odd-indexed parts. A351018

a(n) = d if the point (d,d) is shared by a record of different Dyck paths in the main diagonal of the diagram of the symmetries of σ described in A237593. A279286

The number of n-almost primes less than or equal to 8ⁿ, starting with a(0)=1. A116428

a(n) is the smallest number d if the point (d,d) is shared by exactly n different Dyck paths in the main diagonal of the diagram of the symmetries of σ described in A237593. A282197

G.f. A(x) satisfies: 1 = ∑_n>=0 xⁿ * ((1+x)^2·n - A(x))ⁿ⁺¹, where A(0) = 0. A307952

Shifts left under Weigh transform. A38073

Consider the array T(r,c), the number of c-almost primes less than or equal to r^c. This is the diagonal T(r,r-1). A116434

Binomial transform of [1, 3, 4, 3, 2, 0, 0, 0, ...]. A136395

A self-generating sequence (see Comments for definition). A3156

A Chebyshev T-sequence with Diophantine property. A78369