Properties of the Number 44213

Forty-Four Thousand Two Hundred Thirteen

Basics

Value: 44212 → 44213 → 44214

Parity: odd

Prime: No

Previous Prime: 44207

Next Prime: 44221

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 13 × 19 × 179

Divisors: 1, 13, 19, 179, 247, 2327, 3401, 44213

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010110010110101

Octal: 126265

Duodecimal: 21705

Hexadecimal: acb5

Square: 1954789369

Square Root: 210.26887549040634

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) is the unique nonnegative integer whose binary expansion is the parity sequence of the Collatz orbit of n, interpreted through a particular conjugacy (see Comments). A389685

Expansion of series related to Liouville's Last Theorem: g.f. ∑_t>0 (-1)^t+1 *x^t*(t+1/2) / ( (1-x^t)⁴ *∏_i=1..t (1-xⁱ) ). A59821

E.g.f.: 1/(cos(x) - sinh(x)). A205572

Triangle read by rows, T(n,k) for 0<=k<=n, generalizing A098742. A216916

Number of (binary) heaps with element set [n] and length n+1. A373496

Number of (binary) heaps of length n whose element set equals {1,2,3,4}. A376963

Numbers n such that string 3,2 occurs in the base 8 representation of n but not of n-1. A44213