Properties of the Number 20193

Twenty Thousand One Hundred Ninety-Three

Basics

Value: 20192 → 20193 → 20194

Parity: odd

Prime: No

Previous Prime: 20183

Next Prime: 20201

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 53 × 127

Divisors: 1, 3, 53, 127, 159, 381, 6731, 20193

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 100111011100001

Octal: 47341

Duodecimal: B829

Hexadecimal: 4ee1

Square: 407757249

Square Root: 142.10207598765052

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 positive integers <= 10ⁿ that are divisible by no prime exceeding 11. A107352

a(n) = prime(n) * ∑_i=1..n prime(i). A143215

a(n) = ∑_i=0..n digsum₅(i)⁴, where digsum₅(i) = A053824(i). A231671

Expansion of e.g.f. (1/x) * Series_Reversion( x * (1 - x)² * exp(-x/(1 - x)²) ). A380666

Numbers k such that 40·R_k + 1 is prime, where R_k = 11...1 is the repunit (A002275) of length k. A56681

Sixth column (r=5) of FS(3) staircase array A062745. A62749

a(n) is the only number m such that m = π(1^1/n) + π(2^1/n) + ... + π(m^1/n). A171270

The sum of a triangular array made from a negative 6-fold permutation product. A105156

Number of n X n binary arrays symmetric under horizontal reflection with all ones connected only in a 11000-01100-00110-00011 pattern in any orientation. A147445

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 0, -1), (-1, 0, 1), (0, 1, 0), (1, -1, 0)}. A148126