Properties of the Number 19966

Nineteen Thousand Nine Hundred Sixty-Six

Basics

Value: 19965 → 19966 → 19967

Parity: even

Prime: No

Previous Prime: 19963

Next Prime: 19973

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 2 × 67 × 149

Divisors: 1, 2, 67, 134, 149, 298, 9983, 19966

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100110111111110

Octal: 46776

Duodecimal: B67A

Hexadecimal: 4dfe

Square: 398641156

Square Root: 141.30109695257147

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

Number of unlabeled simple graphs with n edges rooted at two noninterchangeable vertices. A339063

G.f. satisfies A(x) = 1 + x⁵*A(x)² / (1 - x·A(x)). A365699

Large-q series expansion for the exponential of the surface free energy of the square-lattice zero-temperature Potts antiferromagnet, in terms of the variable z = 1/(q - 1). A238835

a(n) is the smallest n-gonal number with binary weight n. A358930

a(1) = 2; a(n) = half of the a(n-1)-th even nontotient number. A72416

a(n) = ∑_k=0..n binomial(n+k,k)*sin(π*(n+k)/2). A181933

Coefficient of·in the reduction by x² -> x+1 of the polynomial p(n,x) defined at Comments. A192389

a(n) = (2·n+1)*(9·n+1). A33573

Number of n X 5 arrays of the minimum value of corresponding elements and their horizontal or diagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..1 n X 5 array. A220029

11-gonal numbers which are products of three distinct primes. A354446