Properties of the Number 41224

Forty-One Thousand Two Hundred Twenty-Four

Basics

Value: 41223 → 41224 → 41225

Parity: even

Prime: No

Previous Prime: 41221

Next Prime: 41227

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 2 ³ × 5153

Divisors: 1, 2, 4, 8, 5153, 10306, 20612, 41224

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010000100001000

Octal: 120410

Duodecimal: 1BA34

Hexadecimal: a108

Square: 1699418176

Square Root: 203.0369424513677

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 g.f. A(x) satisfies A( x·A(x)³ + x·A(x)⁴ ) = A(x)⁴. A371716

Fundamental discriminants d uniquely characterizing all complex biquadratic fields Q(sqrt(-3),sqrt(d)) which have 3-class group of type (3,3) and second 3-class group isomorphic to SmallGroup(729,37). A250240

Expansion of (1/x) * Series_Reversion( x / ((1+x) * (1+x⁴)) ). A369444

Number of (n+1) X (7+1) 0..1 arrays with no 2 X 2 subblock having the sum of its diagonal elements greater than the maximum of its antidiagonal elements. A251127

a(n) = a(n-1) + 3·a(n-2) -2·a(n-3) - 2·a(n-4), where a(0) = 1, a(1) = 3, a(2) = 6, a(3) = 10. A295719

T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with no 2X2 subblock having the sum of its diagonal elements greater than the maximum of its antidiagonal elements. A251128

Numerators of continued fraction convergents to sqrt(124). A41224

a(n) = n² + 2329·n + 1697. A301985

Factors k > 2 such that the polynomial x² + k·x + 1 produces a new minimum of its Hardy-Littlewood constant. A332707