Properties of the Number 53823

Fifty-Three Thousand Eight Hundred Twenty-Three

Basics

Value: 53822 → 53823 → 53824

Parity: odd

Prime: No

Previous Prime: 53819

Next Prime: 53831

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 7 × 11 × 233

Divisors: 1, 3, 7, 11, 21, 33, 77, 231, 233, 699

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1101001000111111

Octal: 151077

Duodecimal: 27193

Hexadecimal: d23f

Square: 2896915329

Square Root: 231.99784481757584

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) = n*(n+1)*(n² + n + 4)/4. A61316

Composite numbers k coprime to 13 such that k divides A006190(k) - Kronecker(13,k). A327654

Numbers k such that τ(k+1) - τ(k) = 5, where τ(k) = the number of divisors of k (A000005). A228453

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays x(i,j) with row sums sum{j·x(i,j), j=1..k+1} nondecreasing, and column sums sum{i·x(i,j), i=1..n+1} nondecreasing. A232778

Numbers n such that the number of divisors of n+1 divides n and the number of divisors of n divides n+1. A272353

a(n) = 64·n² - 1. A158684

Smallest number such that n-th iterate of Chowla function is 0. A2954

Sum(m^p, m=1..p-1)/p as p runs through the odd primes. A219550

Numbers n such that φ(n)+φ(n+1)=n+1. A67798

Number of (n+1)X(1+1) 0..2 arrays x(i,j) with row sums sum{j·x(i,j), j=1..1+1} nondecreasing, and column sums sum{i·x(i,j), i=1..n+1} nondecreasing. A232775