Properties of the Number 20743

Twenty Thousand Seven Hundred Forty-Three

Basics

Value: 20742 → 20743 → 20744

Parity: odd

Prime: Yes

Previous Prime: 20731

Next Prime: 20747

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 20743

Divisors: 1, 20743

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 101000100000111

Octal: 50407

Duodecimal: 10007

Hexadecimal: 5107

Square: 430272049

Square Root: 144.0243035046516

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

Primes followed by a [4,2,4] prime difference pattern of A001223. A52378

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with nondecreasing x(i,j)+x(i,j-1) in the i direction and nondecreasing min(x(i,j),x(i-1,j)) in the j direction. A250632

Primes at which the difference pattern X424Y (X and Y >= 6) occurs in A001223. A52166

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

Total number of repeated parts in all partitions of n. A194452

a(n) = next prime after n⁴. A53786

Primes p such that 6p + 1 and (p-1)/6 are primes. A85957

Number of partitions of n such that the (sum of distinct even parts) < n/2. A284616

Number of partitions of n such that the (sum of distinct even parts) <= n/2. A284617

Numbers n such that n and n+4^k are all primes for k=1,2,3. A49493