Properties of the Number 20441

Twenty Thousand Four Hundred Forty-One

Basics

Value: 20440 → 20441 → 20442

Parity: odd

Prime: Yes

Previous Prime: 20431

Next Prime: 20443

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 20441

Divisors: 1, 20441

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100111111011001

Octal: 47731

Duodecimal: B9B5

Hexadecimal: 4fd9

Square: 417834481

Square Root: 142.97202523570826

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

Least n-gap prime: a(n) = least prime p for which there is no prime between n·p and n·q, where q is the next prime after p. A195325

Luhn primes: primes p such that p + (p reversed) is also a prime. A61783

Primes dividing nonzero terms in A003095: the iterates of x² + 1 starting at 0. A247981

Number of equivalence classes of base-3 necklaces of length n, where necklaces are considered equivalent under both rotations and permutations of the symbols. A2076

Number of partitions of n having standard deviation σ > 2. A238661

a(n) = n³ - 2·n² + 2·n + 1. A188947

Primes of the form k² - 8. A28886

Lower twin primes with lower twin prime index. A88460

Triangle T(n,k) read by rows: ∑_{k=0..binomial(n,2)} T(n,k)*q^k = n!*∑_π faq(n,q)/∏_i=1..n e(i)!*faq(i,q)^e(i), where π runs over all nonnegative integer solutions to e(1) + 2·e(2) + ... + n·e(n) = n and faq(i,q) = ∏_j=1..i (q^j-1)/(q-1), i = 1..n. A152474

Chen primes A109611(k) which have the same sum-of-digits as their index k. A176012