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Properties of the Number 19797

Nineteen Thousand Seven Hundred Ninety-Seven

Basics

Value: 19796 → 19797 → 19798

Parity: odd

Prime: No

Previous Prime: 19793

Next Prime: 19801

Digit Sum: 33

Digital Root: 6

Palindrome: No

Factorization: 3 × 6599

Divisors: 1, 3, 6599, 19797

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 100110101010101

Octal: 46525

Duodecimal: B559

Hexadecimal: 4d55

Square: 391921209

Square Root: 140.70181235506527

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

Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 24. A51965
T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the number of clockwise edge increases in 2X2 subblocks nondecreasing rightwards and downwards. A206512
Let t be the closest triangular number to n! (in case n=2, the only case where we have a tie, take the larger t); then a(n) = n! - t. A338489
Numbers whose base-2 representation has exactly 13 runs. A43580
Number of (n+1) X 2 0..2 arrays with the number of clockwise edge increases in 2 X 2 subblocks nondecreasing rightwards and downwards. A206505
Number of (n+1)X5 0..2 arrays with the number of clockwise edge increases in 2X2 subblocks nondecreasing rightwards and downwards. A206508
Positions of remoteness 3 in Beans-Don't-Talk. A5695
Numbers n for which one step of the Collatz iteration (3n+1)/2r gives rise to values 59,53,47,41,35,29,23,17,11 and 5 for r=1,3,5,..,19. A72253
Numbers k such that 5·10k + 87 is prime. A271360
An array A of the positive odd numbers, read by antidiagonals upwards, giving the present triangle T. A347834