Properties of the Number 37444

Thirty-Seven Thousand Four Hundred Forty-Four

Basics

Value: 37443 → 37444 → 37445

Parity: even

Prime: No

Previous Prime: 37441

Next Prime: 37447

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ² × 11 × 23 × 37

Divisors: 1, 2, 4, 11, 22, 23, 37, 44, 46, 74

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001001001000100

Octal: 111104

Duodecimal: 19804

Hexadecimal: 9244

Square: 1402053136

Square Root: 193.5045219109879

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

Expansion of ∏_k>=1 1/(1 - x^k)^(5·k-1*binomial(k+2,3)/4). A317020

Right part of the square of the n-th Kaprekar number. A194219

Numbers n which appear at least twice in A037278(n), concatenation of their divisors written in base 10. A248323

a(n) = n*(n+1)*(7·n-6)/2. A256718

Number of parts in all partitions of n with largest multiplicity ten. A320380

Nonsquare k such that k³ - 1 is the average of two positive cubes. A274578

Number of permutations p of (1..n) such that k+p(k) is a semiprime for 1 <= k <= n. A276735

Number of partitions of n² into squares. A37444

Number of j (0 <= j <= n) such that the central binomial coefficient C(n,floor(n/2)) = A001405(n) is divisible by C(n,j). A80383

Irregular triangle read by rows: row n gives numbers of maximal chains of lengths n-1, n, n+1, ... in the Tamari lattice T_n. A282698