Properties of the Number 19796

Nineteen Thousand Seven Hundred Ninety-Six

Basics

Value: 19795 → 19796 → 19797

Parity: even

Prime: No

Previous Prime: 19793

Next Prime: 19801

Digit Sum: 32

Digital Root: 5

Palindrome: No

Factorization: 2 ² × 7 ² × 101

Divisors: 1, 2, 4, 7, 14, 28, 49, 98, 101, 196

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 100110101010100

Octal: 46524

Duodecimal: B558

Hexadecimal: 4d54

Square: 391881616

Square Root: 140.69825869569246

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-7), with a(i) = 1 for i = 0..6. A5709

Number of all solid standard Young tableaux of shape [[n,k],[n-k]] for 0<=k<=n. A215002

Expansion of cosh(7·arctanh(2·sqrt(x))). A285045

T(n,k)=Number of nXk 0..1 arrays with each 1 adjacent to 1 or 4 king-move neighboring 1s. A296019

G.f. satisfies: A(x) = 1/(1 + x·A(x⁷)) and also the continued fraction: 1 + x·A(x⁸) = [1; 1/x, 1/x⁷, 1/x⁴⁹, 1/x³⁴³, ..., 1/x^{7^(n-1}), ...]. A101917

Number of compositions of 7·n-2 into parts 1 and 7. A373928

Expansion of 1/(1 - x⁷ - x⁸ - ...). A17901

Transform of A059502 applied to sequence 2,3,4,... A59505

G.f. = b(2)²*b(4)/(x⁵+x⁴-x³-x²-x+1), where b(k) = (1-x^k)/(1-x). A266339

Number of n X 3 0..1 arrays with each 1 adjacent to 1 or 4 king-move neighboring 1s. A296014