Properties of the Number 40221

Forty Thousand Two Hundred Twenty-One

Basics

Value: 40220 → 40221 → 40222

Parity: odd

Prime: No

Previous Prime: 40213

Next Prime: 40231

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 41 × 109

Divisors: 1, 3, 9, 41, 109, 123, 327, 369, 981, 4469

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001110100011101

Octal: 116435

Duodecimal: 1B339

Hexadecimal: 9d1d

Square: 1617728841

Square Root: 200.55173896029922

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) = (2·n - 1)*(7·n² - 7·n + 3)/3. A63494

G.f. satisfies: A(x) = 1/(1 - x/A(-x·A(x)⁷)²). A213229

T(n,k)=Number of nXk 0..4 arrays with each element·equal to the number of its horizontal and vertical neighbors equal to 3,0,2,1,4 for x=0,1,2,3,4. A196485

Number of ternary strings of length n with maximal run length four containing 11112. A269916

Numbers k such that k + A224787(k) is a square. A386640

Indices of primes in sequence defined by A(0) = 11, A(n) = 10·A(n-1) + 51 for n > 0. A56247

Sum of antidiagonals of A060736. A61349

Number of n X 5 0..4 arrays with each element·equal to the number its horizontal and vertical neighbors equal to 3,0,2,1,4 for x=0,1,2,3,4. A196482

Number of primitive permutations with n buds and 4 red or blue elements. A226297

Absolute differences between A109441 and A100948. A120722