Properties of the Number 20747

Twenty Thousand Seven Hundred Forty-Seven

Basics

Value: 20746 → 20747 → 20748

Parity: odd

Prime: Yes

Previous Prime: 20743

Next Prime: 20749

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 20747

Divisors: 1, 20747

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101000100001011

Octal: 50413

Duodecimal: 1000B

Hexadecimal: 510b

Square: 430438009

Square Root: 144.03818938045563

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

Initial term in sequence of four consecutive primes separated by 3 consecutive differences each <= 6 (i.e., when d = 2, 4 or 6) and forming pattern = [2, 4, 6]; short notation = [246] d-pattern. A78847

Numbers k such that k·4^k-1 is prime. A86661

Primes p such that the number of distinct prime divisors of all composite numbers between p and the next prime is 5. A75585

Recursive prime generating sequence. A39726

Prime numbers p such that x² + x + p produces primes for x = 0..3 but not x = 4. A210362

Prime time primes on 6-digit clocks, second definition: primes of the form HMMSS where H, MM, SS are primes, H < 24, MM and SS < 60. A295013

Smallest prime p such that the maximum run length of consecutive positive quadratic residues modulo p is n. A97159

Primes p such that (p, p+2, p+6, p+12) is a prime quadruple. A172454

Prime numbers p for which the quintic polynomial x⁵ - x - 1 modulo p completely factors into linear polynomials. A135844

Prime numbers p not of the form 10·k+1 for which the quintic polynomial x⁵-x-1 modulus p is factorizable into five binomials. A135845