Properties of the Number 20501

Twenty Thousand Five Hundred One

Basics

Value: 20500 → 20501 → 20502

Parity: odd

Prime: No

Previous Prime: 20483

Next Prime: 20507

Digit Sum: 8

Digital Root: 8

Palindrome: No

Factorization: 13 × 19 × 83

Divisors: 1, 13, 19, 83, 247, 1079, 1577, 20501

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101000000010101

Octal: 50025

Duodecimal: BA45

Hexadecimal: 5015

Square: 420291001

Square Root: 143.1817027416562

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 compositions (ordered partitions) of n where no pair of adjacent part sizes is relatively prime. A178470

a(n) = n*(2·n+5)*(n-1)/6. A51925

a(n) = n*(7·n² - 1)/6. A4126

Odd octagonal numbers: (2n+1)*(6n+1). A14641

Terms of A324315 (squarefree integers m > 1 such that if prime p divides m, then the sum of the base p digits of m is at least p) that are also octagonal numbers (A000567) with index equal to their largest prime factor. A324320

a(n) = 25·n*(n + 1)/2 + 1. A262221

Numbers b > 1 such that the smallest four primes, i.e., 2, 3, 5 and 7 are base-b Wieferich primes. A339533

G.f.: ∑_k>=0 x^k * ∏_j=1..5·k (1 + x^j)/(1 - x^j). A385091

Sums of 5 distinct powers of 4. A38473

Number of triples (w,x,y) with all terms in {0,...,n} and w >= floor((x+y)/3). A212972