Properties of the Number 20853

Twenty Thousand Eight Hundred Fifty-Three

Basics

Value: 20852 → 20853 → 20854

Parity: odd

Prime: No

Previous Prime: 20849

Next Prime: 20857

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 7 × 331

Divisors: 1, 3, 7, 9, 21, 63, 331, 993, 2317, 2979

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 101000101110101

Octal: 50565

Duodecimal: 10099

Hexadecimal: 5175

Square: 434847609

Square Root: 144.4056785587049

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) = (4·n³ - 12·n² + 14·n + 3)/3. A161703

a(n) = binomial(n,4) + binomial(n,2). A55795

Sum of the partition parts of 3n into 3 parts. A235988

Number of partitions of n such that 2*(greatest part) <= (number of parts). A237752

Sum of the parts in the partitions of 4n into 4 parts with smallest part equal to 1 minus the number of these partitions. A239057

Number of (w,x,y,z) with all terms in {1,...,n} and w<2x and y>3z. A212510

Solution of the complementary equation a(n) = 2·a(n-2) - b(n-2) + n, where a(0) = 3, a(1) = 4, b(0) = 1, and (a(n)) and (b(n)) are increasing complementary sequences. A295069

Divisors of 2³⁰ - 1. A3538

E.g.f.: A(x) = 1 + ∑_n>=1 (1/n!)*∏_k=1..n [exp(kx) - 1]. A135752

In A015922, not in A033553. A33554