Properties of the Number 20524

Twenty Thousand Five Hundred Twenty-Four

Basics

Value: 20523 → 20524 → 20525

Parity: even

Prime: No

Previous Prime: 20521

Next Prime: 20533

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 2 ² × 7 × 733

Divisors: 1, 2, 4, 7, 14, 28, 733, 1466, 2932, 5131

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 101000000101100

Octal: 50054

Duodecimal: BA64

Hexadecimal: 502c

Square: 421234576

Square Root: 143.26199775236978

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) is the sum of products of terms in all partitions of n. A6906

Number of length n words on alphabet {0,1} such that the length of every maximal block of 0's (runs) is the same. A243815

Number of fib100 primes (A095088) in range ]2ⁿ,2ⁿ⁺¹]. A95068

Numbers n with property that n² contains "1234" as a substring. A175464

Least positive integer k such that 1 + 1/2 + ... + 1/k > n/φ, where φ = golden ratio = (1+sqrt(5))/2. A226160

Expansion of ∑_i>=1 x^i*(i+1/2) / (1 - ∑_j>=1 x^j*(j+1/2))². A281810

Triangular array read by rows: T(n, k) is the number of zero-energy states from the partition function in the Ising model for a finite n·k square lattice with periodic boundary conditions. A364781

a(n)= ∑_{d divides n} a(abs(n/d-d)). A79580

a(n) = 4th Euler polynomial evaluated at 2ⁿ. A20524

a(2n-1) and a(2n) represent the smallest fraction a(2n-1)/a(2n) needing n unit fractions. A285261