Properties of the Number 37384

Thirty-Seven Thousand Three Hundred Eighty-Four

Basics

Value: 37383 → 37384 → 37385

Parity: even

Prime: No

Previous Prime: 37379

Next Prime: 37397

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 ³ × 4673

Divisors: 1, 2, 4, 8, 4673, 9346, 18692, 37384

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001001000001000

Octal: 111010

Duodecimal: 19774

Hexadecimal: 9208

Square: 1397563456

Square Root: 193.34942461771124

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

Triangular array: the fission of the polynomial sequence ((x+1)ⁿ: n >= 0) by the polynomial sequence ((x+2)ⁿ: n >= 0). (Fission is defined at Comments.) A193842

a(n) = ∑_k=0..n 3^k * binomial(n+k-1,k). A383888

Main diagonal of triangular array T: T(j,1) = 1 for ((j-1) mod 8) < 4, else 0; T(j,k) = T(j-1,k-1)+T(j,k-1) for 2 <= k <= j. A129961

Mirror image of the triangle A193842. A193843

Sums of 4 distinct powers of 8. A38486

Sum over all partitions λ of n of ∑_p:λ p^m(p,λ), where m(p,λ) is the multiplicity of part p in λ. A213180

Numbers k such that k·2^k - (k-1) is prime. A46847

T(n, k) = 3·T(n-1, k-1) + T(n-1, k) for k < n and T(n, n) = 1, T(n, k) = 0, if k < 0 or k > n; triangle read by rows. A119673

Number of conjugacy classes of the symmetric group S_n when conjugating only by even permutations. A242101

Number of (n+2)X(7+2) 0..3 arrays with every consecutive three elements in every row and column not having exactly two distinct values, and in every diagonal and antidiagonal having exactly two distinct values, and new values 0 upwards introduced in row major order. A253024