Properties of the Number 19722

Nineteen Thousand Seven Hundred Twenty-Two

Basics

Value: 19721 → 19722 → 19723

Parity: even

Prime: No

Previous Prime: 19717

Next Prime: 19727

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 19 × 173

Divisors: 1, 2, 3, 6, 19, 38, 57, 114, 173, 346

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 100110100001010

Octal: 46412

Duodecimal: B4B6

Hexadecimal: 4d0a

Square: 388957284

Square Root: 140.43503836293846

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

Numbers that are the sum of 3 nonzero 6th powers. A3359

a(n) = n*(n²+3·n-1)/3. A84990

Number of distinct values produced from sums and products of n unity arguments. A48249

30-gonal numbers: a(n) = n*(14·n-13). A254474

T(n,k)=Number of nXk 0..1 arrays with every element equal to 1, 2, 3, 5 or 8 king-move adjacent elements, with upper left element zero. A298770

Total number A(n,k) of k-tuples of semi-Dyck paths from (0,0) to (n,n-2·j) for j=0..floor(n/2); square array A(n,k), n>=0, k>=0, read by antidiagonals. A357824

a(n) = S(6,n), where S(r,n) = ∑_{k=0..floor(n/2)} ( binomial(n,k) - binomial(n,k-1) )^r. A382433

Sum of distinct nonzero sixth powers. A194769

Maximal value of ∑_i=1..n (p(i) - p(i+1))², where p(n+1) = p(1), as p ranges over all permutations of {1, 2, ..., n}. A64842

Smallest sets of 7 consecutive abundant numbers in arithmetic progression. The initial abundant number is listed. A228964