Properties of the Number 20767

Twenty Thousand Seven Hundred Sixty-Seven

Basics

Value: 20766 → 20767 → 20768

Parity: odd

Prime: No

Previous Prime: 20759

Next Prime: 20771

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 19 × 1093

Divisors: 1, 19, 1093, 20767

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 101000100011111

Octal: 50437

Duodecimal: 10027

Hexadecimal: 511f

Square: 431268289

Square Root: 144.1075986893127

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

Sums of 7 distinct powers of 3. A38469

Antidiagonal sums of square array A082011. A82014

Expansion of (1-x)^-1/(1+2·x²-x³). A77892

Numbers k such that the ring of integers of Q(2^1/k) is not Z[2^1/k]. A342390

Numerators of continued fraction convergents to sqrt(298). A41560

Numbers k such that 1000000000k+1, 1000000000k+3, 1000000000k+7, 1000000000k+9 are all primes. A64968

Nonprime numbers whose cototient is a decimal repunits >1 from A002275. A98218

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 441", based on the 5-celled von Neumann neighborhood. A272223

∏_k=1..n b(k), where b(k) = binary expansion of k (A007088) but read as if it were a decimal number. A20767

G.f. satisfies: A(x) = (1 + x·A(x)³) * (1 + x²*A(x)⁴). A211248