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Properties of the Number 20717

Twenty Thousand Seven Hundred Seventeen

Basics

Value: 20716 → 20717 → 20718

Parity: odd

Prime: Yes

Previous Prime: 20707

Next Prime: 20719

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 20717

Divisors: 1, 20717

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 101000011101101

Octal: 50355

Duodecimal: BBA5

Hexadecimal: 50ed

Square: 429194089

Square Root: 143.93401265857906

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

T(n,k)=Number of nXk 0..3 arrays with no element equal to one plus the sum of elements to its left or zero plus the sum of the elements above it or one plus the sum of the elements diagonally to its northwest or one plus the sum of the elements antidiagonally to its northeast, modulo 4. A241283
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
Lesser of twin primes p such that 6·p+1 is greater of twin primes. A176131
Number of integer partitions of n without a nonempty initial consecutive subsequence summing to n/2. A362558
Let F(g,p) be the frequency of g up to prime nextprime(p+1). Primes p such that F(2,p) = F(4,p) and g = 2 or 4. A274122
Number of integer partitions of 2n without a nonempty initial consecutive subsequence summing to n. A362051
Primes p with A047967(p) also prime. A236418
Indices of primes in sequence defined by A(0) = 43, A(n) = 10·A(n-1) + 63 for n > 0. A101739
Primes p such that p·q*r + 6 and p·q*r - 6 are primes where q and r are the next two primes after p. A240715
Subtract 1 from the terms of A256407. A256410