Properties of the Number 40216

Forty Thousand Two Hundred Sixteen

Basics

Value: 40215 → 40216 → 40217

Parity: even

Prime: No

Previous Prime: 40213

Next Prime: 40231

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 2 ³ × 11 × 457

Divisors: 1, 2, 4, 8, 11, 22, 44, 88, 457, 914

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1001110100011000

Octal: 116430

Duodecimal: 1B334

Hexadecimal: 9d18

Square: 1617326656

Square Root: 200.539272961682

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

Expansion of (1+2·x+3·x²)/((1-x)³*(1-x²)). A55232

Maximum detour index of any bipartite graph on n nodes. A296819

a(n) = number of (s(0), s(1), ..., s(n)) such that every s(i) is an integer, s(0) = 0, |s(i) - s(i-1)| = 1 for i = 1,2; |s(i) - s(i-1)| <= 1 for i >= 3, s(n) = 4. Also a(n) = T(n,n-4), where T is the array defined in A024996. A26071

First term is 1; thereafter, if u and v are consecutive terms, with decimal expansions u = bc...ef, v = hi...jk, then v-u has decimal expansion efhi, formed by concatenating the last two digits of u and the first two digits of v. If there is a choice for v, pick the smallest. A367363

Number of permutations satisfying -k<=p(i)-i<=r and p(i)-i not in I, i=1..n, with k=3, r=3, I={0,1,2}. A79988

Numbers k such that Bernoulli number B_k has denominator 61410. A295591

G.f. A(x) satisfies: [xⁿ] A(x)ⁿ⁺¹ = [xⁿ] (1 + x·A(x)ⁿ)ⁿ⁺¹ for n>=0. A302702

Continued fraction for sqrt(232). A40216

Number of (n+1)X8 binary arrays with no 2X2 subblock trace equal to any horizontal or vertical neighbor 2X2 subblock trace. A185767