Properties of the Number 20397

Twenty Thousand Three Hundred Ninety-Seven

Basics

Value: 20396 → 20397 → 20398

Parity: odd

Prime: No

Previous Prime: 20393

Next Prime: 20399

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 13 × 523

Divisors: 1, 3, 13, 39, 523, 1569, 6799, 20397

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 100111110101101

Octal: 47655

Duodecimal: B979

Hexadecimal: 4fad

Square: 416037609

Square Root: 142.81806608409175

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

Sum of the squares of the larger parts of the partitions of 2n into two squarefree parts. A280322

Numbers that can be represented in more than one way as p²+p·q+q² with p and q primes, p<=q. A349987

Number of tautologies in propositional calculus of length n. A256120

G.f. (x + 1)¹⁰/(x¹⁰ + x⁹ - x⁷ - x⁶ - x⁵ - x⁴ - x³ + x + 1). A173243

Number of length 2+2 0..n arrays with the medians of every three consecutive terms nondecreasing. A250141

Numbers k such that (in base 10) the k-th composite is a substring of the k-th prime. A378491

Numbers k such that the continued fraction for sqrt(k) has period 58. A20397

Number of (n+2) X (3+2) 0..3 arrays with every 3 X 3 subblock row and column sum not equal to 0 2 5 6 or 7 and every 3 X 3 diagonal and antidiagonal sum equal to 0 2 5 6 or 7. A252418