Properties of the Number 40201

Forty Thousand Two Hundred One

Basics

Value: 40200 → 40201 → 40202

Parity: odd

Prime: No

Previous Prime: 40193

Next Prime: 40213

Digit Sum: 7

Digital Root: 7

Palindrome: No

Factorization: 7 × 5743

Divisors: 1, 7, 5743, 40201

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1001110100001001

Octal: 116411

Duodecimal: 1B321

Hexadecimal: 9d09

Square: 1616120401

Square Root: 200.50187031546614

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

Triangle read by rows: T(n,k) is the number of permutations of [n] having k adjacent 4-cycles (0 <= k <= floor(n/4)), i.e., having k cycles of the form (i, i+1, i+2, i+3). A177252

Number of permutations of [n] having no adjacent 4-cycles, i.e., no cycles of the form (i, i+1, i+2, i+3). A177253

G.f. satisfies A(x) = exp( ∑_k>=1 A(x^k) * x^k/(k * (1 + x^k)²) ). A363567

a(n) = A375516(n+1) / A375516(n). A375791

T(n,k) is the k-th partition of n in graded reverse lexicographic ordering (A080577) encoded as concatenation of parts which are represented in (zeroless) bijective base-9 numeration (A052382) and separated by zeros; triangle T(n,k), n >= 0, 1 <= k <= A000041(n), read by rows. A332567

a(n) = [[(k²)*n]-(k*[k·n])], where k = sqrt(2) and [] is the floor function. A59648

Primes p with no solution·to x=p·digitsum(x). A130338

Continued fraction for sqrt(216). A40201

Numbers k such that 4·10^2k + 2*(10^k) + 1 is prime. A297422