Properties of the Number 20803

Twenty Thousand Eight Hundred Three

Basics

Value: 20802 → 20803 → 20804

Parity: odd

Prime: No

Previous Prime: 20789

Next Prime: 20807

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 71 × 293

Divisors: 1, 71, 293, 20803

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101000101000011

Octal: 50503

Duodecimal: 10057

Hexadecimal: 5143

Square: 432764809

Square Root: 144.23245127224317

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

Counterbalanced numbers: Composite numbers k such that φ(k)/(σ(k)-k) is an integer. A55940

Index sequence for limit-reversing A000002; see Comments. A245937

Numbers k such that (k-1)*2^k + 1 is prime. A128001

Numbers which do not reach zero under either of the iterations: x -> floor(sqrt(x)) * (x - floor(sqrt(x))²) or y -> ceiling(sqrt(y)) * (ceiling(sqrt(y))² - y). A219963

Numbers k such that φ(k) = σ(φ(φ(k))). A115448

Number of 4 X n 0..1 arrays with diagonals and antidiagonals unimodal and rows nondecreasing. A223951

Number of simple graphs on n nodes with vertex count > edge count + 1. A333865

Numbers k such that 3^k*k³ + 2 is a prime. A366997

Number of 3 X 3 integer matrices with elements in the range [ -n,n ] which generate a group of order two under binary matrix multiplication. A54466

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 0, -1), (0, 0, 1), (1, -1, 1), (1, 1, 0)}. A150189