Properties of the Number 44257

Forty-Four Thousand Two Hundred Fifty-Seven

Basics

Value: 44256 → 44257 → 44258

Parity: odd

Prime: Yes

Previous Prime: 44249

Next Prime: 44263

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 44257

Divisors: 1, 44257

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010110011100001

Octal: 126341

Duodecimal: 21741

Hexadecimal: ace1

Square: 1958682049

Square Root: 210.3734774157617

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

Numbers k such that the fractional part of (3/2)^k is less than 1/k. A153662

Numbers n such that n, 10·n+1, 10·n+3, 10·n+7 and 10·n+9 are all primes. A67267

The 6-tuples (d1,d2,d3,d4,d5,d6) with elements in {2,4,6} are listed in lexicographic order; for each 6-tuple, this sequence lists the smallest prime p >= 7 such that the differences between the 7 consecutive primes starting with p are (d1,d2,d3,d4,d5,d6), if such a prime exists. A78874

Sorted version of A078874. A78875

Let p_3,1(m) be the m-th prime == 1(mod 3). Then a(n) is the smallest p_3,1(m) such that the interval(p_3,1(m)*n, p_3,1(m+1)*n) contains exactly one prime == 1(mod 3). A210465

Third term of strong prime sextets: p(m-1)-p(m-2) > p(m)-p(m-1) > p(m+1)-p(m) > p(m+2)-p(m+1) > p(m+3)-p(m+2). A54815

Primes p such that the differences between the 5 consecutive primes starting with p are (6,4,2,4). A78961

Scale factor by which primitive Pythagorean triangle {x=A088509(n), y=A088510(n), z=A088511(n)} needs be enlarged in order to circumscribe the smallest integral square having a side on the hypotenuse. A88544

Primes p such that p + 6, p + 10, p + 12, p + 16 and p + 22 are also primes. A383396

Greatest number m such that the fractional part of (3/2)^A153662(n) <= 1/m. A153666