Properties of the Number 44289

Forty-Four Thousand Two Hundred Eighty-Nine

Basics

Value: 44288 → 44289 → 44290

Parity: odd

Prime: No

Previous Prime: 44281

Next Prime: 44293

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 7 × 19 × 37

Divisors: 1, 3, 7, 9, 19, 21, 37, 57, 63, 111

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010110100000001

Octal: 126401

Duodecimal: 21769

Hexadecimal: ad01

Square: 1961515521

Square Root: 210.449518887547

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) = n*(n+1)*(5·n + 4)/6. A162147

Total number of parts coprime to n in the partitions of n into 8 parts. A363326

Triangular matrix, read by rows, where row k is formed from the first differences of row (k-1) of its matrix square, with an appended '1' for the main diagonal. A102225

Generalized Markoff numbers: largest of 7-tuple of positive numbers a, b, c, d, e, f, g satisfying the Markoff(7) equation a²+b²+c²+d²+e²+f²+g² = 5abcdefg. A227212

Numbers k such that φ(k)/λ(k) increases to a record value, where φ(k) is the Euler totient function (A000010) and λ(k) is the Carmichael λ function (A002322). A66605

Numbers k such that one can make an equilateral triangle from a chain of linked rods of length 1, 2, 3, ..., k, with perimeter equal to the total length. A382632

Sixth column (m=5) of (1,4)-Pascal triangle A095666. A95668

a(n) = (11ⁿ - 1)/(5·2^{3 - 2*(n mod 2})). A152435

Indices k at which record low values of the ratio A046530(k)/k occur. A330695

E.g.f. satisfies: A(x) = 1 + sinh(x·A(x)²). A198865