Properties of the Number 93345

Ninety-Three Thousand Three Hundred Forty-Five

Basics

Value: 93344 → 93345 → 93346

Parity: odd

Prime: No

Previous Prime: 93337

Next Prime: 93371

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 5 × 7 ² × 127

Divisors: 1, 3, 5, 7, 15, 21, 35, 49, 105, 127

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10110110010100001

Octal: 266241

Duodecimal: 46029

Hexadecimal: 16ca1

Square: 8713289025

Square Root: 305.52413979913274

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

A(n,k) is the sum of all compositions [c₁, c₂, ..., c_k] of n into k nonnegative parts encoded as ∏_i=1..k prime(i)^c_i; square array A(n,k), n>=0, k>=0, read by antidiagonals. A343751

Triangle read by rows: T(n,k) = p(k)*T(n-1,k) + T(n-1,k-1) (1 <= k <= n), where p(k) denotes the k-th prime. A124960

A generalized difference set on the set of all integers (λ = 2). A49399

Indices of primes in sequence defined by A(0) = 97, A(n) = 10·A(n-1) - 23 for n > 0. A101008

Weight distribution of [127,43,31] primitive binary BCH code. A151815

a(n) = (prime(n)⁶ - 1)/504. A306174

G.f. A(x) satisfies: 0 = [x^n-1] 1 / A(x)^n²+n-1 for n>2. A303562

a(n) = n! * {1 + Sum[i=1..n, 1/i·Sum(j=0..i-1, 1/j!)]}. A93345