Properties of the Number 19743

Nineteen Thousand Seven Hundred Forty-Three

Basics

Value: 19742 → 19743 → 19744

Parity: odd

Prime: No

Previous Prime: 19739

Next Prime: 19751

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 6581

Divisors: 1, 3, 6581, 19743

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 100110100011111

Octal: 46437

Duodecimal: B513

Hexadecimal: 4d1f

Square: 389786049

Square Root: 140.5097861360553

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

a(n) = a(n-1) + a(n-2) + a(n-3), with a(0) = 1, a(1) = a(2) = 6. A214828

Numbers n such that (n+j) mod (2+j) = 1 for j from 0 to 5 and (n+6) mod 8 <> 1. A96024

Number of (w,x,y,z) with all terms in {1,...,n} and 3w>=x+y+z+n. A212250

Number of non-isomorphic 4 X 4 nonnegative integer symmetric matrices with all row and column sums equal to n up to permutations of rows and columns. A333886

G.f. A(x) = ∑_n>=0 a(n)*xⁿ satisfies: [∑_n>=0 xⁿ/(1 - xⁿ⁺¹)]³ = ∑_n>=0 a(n)*xⁿ/(1 - xⁿ⁺¹)³. A341374

Number of nondecreasing -n..n vectors of length 3 whose dot product with some lexicographically greater than or equal to nondecreasing -n..n vector equals 3. A226424

Number of ways to write n as x² + y² + z² + w² with x,y,z,w integers and 0 <= z <= w such that x³ + 2·y³ is a square. A283617

Decimal expansion of e/6. A19743

The numbers visited on a square spiral when stepping to the smallest unvisited number that does not differ by 1 from the current number, is visible from the current number, and does not share a divisor > 1 with the current number. A348026