Properties of the Number 20213

Twenty Thousand Two Hundred Thirteen

Basics

Value: 20212 → 20213 → 20214

Parity: odd

Prime: No

Previous Prime: 20201

Next Prime: 20219

Digit Sum: 8

Digital Root: 8

Palindrome: No

Factorization: 17 × 29 × 41

Divisors: 1, 17, 29, 41, 493, 697, 1189, 20213

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 100111011110101

Octal: 47365

Duodecimal: B845

Hexadecimal: 4ef5

Square: 408565369

Square Root: 142.1724305201258

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

Products of three distinct primes that form an arithmetic progression. A262723

For any number n take the polynomial formed by the product of the terms (x-π), where π's are the prime factors of n. Then calculate the area between the minimum and the maximum value of the prime factors. This sequence lists the numbers for which the area is equal to zero. A203614

T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 0 1 or 4. A252293

Numbers of the form HMMSS with primes H < 24 and MM, SS < 60, for which the number of seconds after midnight, 3600·H+60·MM+SS, is also prime. A295011

Prime time numbers on 6-digit clocks: numbers of the form HMMSS where H, MM, SS are primes, H < 24, MM and SS < 60. A295014

Number of partitions p of n such that (sum of parts with multiplicity 1) <= (sum of all other parts). A240449

Numbers n such that n through n+5 have the same number of distinct prime factors. A45934

Fixed points of A275957; numbers n for which A060125(n) = A225901(n). A275843

Numbers of the form p·q*r where p, q, r are distinct primes congruent to 1 mod 4 such that Legendre(p/q) = Legendre(p/r) = Legendre(q/r) = -1. A323271

a(n) = A001541(n)*A001653(n+1)*A002315(n). A111647