Properties of the Number 55362

Fifty-Five Thousand Three Hundred Sixty-Two

Basics

Value: 55361 → 55362 → 55363

Parity: even

Prime: No

Previous Prime: 55351

Next Prime: 55373

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 9227

Divisors: 1, 2, 3, 6, 9227, 18454, 27681, 55362

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1101100001000010

Octal: 154102

Duodecimal: 28056

Hexadecimal: d842

Square: 3064951044

Square Root: 235.29130880676405

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

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock diagonal minus antidiagonal sum nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A253495

a(n) = ∑_{1 <= i, j, k <= n} gcd(i,j,k). A344522

Numbers n such that 3·10ⁿ + 2·R_n - 1 is prime, where R_n = 11...1 is the repunit (A002275) of length n. A102966

Number of -3..3 arrays x(i) of n+1 elements i=1..n+1 with set{t,u,v in 0,1}((x[i+t]+x[j+u]+x[k+v])*(-1)^t+u+v) having two, three, four or five distinct values for every i,j,k<=n. A211726

Number of (n+1) X (2+1) 0..2 arrays with every 2 X 2 subblock diagonal minus antidiagonal sum nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A253489

Number of (7+1) X (n+1) 0..2 arrays with every 2 X 2 subblock diagonal minus antidiagonal sum nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A253501

Number of 2Xn integer arrays with each element equal to the number of horizontal and antidiagonal neighbors exactly one smaller than itself. A266102

Number of increasing mobiles (circular rooted trees) with n nodes and 8 leaves. A55362