Properties of the Number 41584

Forty-One Thousand Five Hundred Eighty-Four

Basics

Value: 41583 → 41584 → 41585

Parity: even

Prime: No

Previous Prime: 41579

Next Prime: 41593

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ⁴ × 23 × 113

Divisors: 1, 2, 4, 8, 16, 23, 46, 92, 113, 184

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010001001110000

Octal: 121160

Duodecimal: 20094

Hexadecimal: a270

Square: 1729229056

Square Root: 203.92155354449417

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

Number of partitions of n whose greatest part is a multiple of 3. A363045

Number of vertex points in a Sierpinski Carpet grid subdivided into squares: a(n+1) = 8·a(n) - 8*(3ⁿ+1), a(0) = 4. A293143

G.f.: ∑_n>=0 (xⁿ⁺¹ + i)ⁿ / (1 + i·xⁿ)ⁿ⁺¹, in which the constant term is taken to be 1. A323690

Number of ways of getting a straight flush, 4 of a kind, full house, flush, straight, 3 of a kind, 2 pair, a pair, nothing in a 7-card poker hand. A2879

Numbers k such that 1000k+1, 1000k+3, 1000k+7, 1000k+9 are all primes. A64962

Centered triangular numbers that are pseudoperfect (semiperfect). A377747

Number of hands of n cards containing a straight flush (for n=1 to 52). A143314

G.f. A(x) satisfies: A(x)² = A( x²/(1-8·x) ), with A(0) = 0. A264226

Numerators of continued fraction convergents to sqrt(310). A41584

Number of (n+1) X (2+1) 0..2 arrays with the maximum plus the upper median plus the minimum minus the lower median of every 2 X 2 subblock equal. A237061