Properties of the Number 66424

Sixty-Six Thousand Four Hundred Twenty-Four

Basics

Value: 66423 → 66424 → 66425

Parity: even

Prime: No

Previous Prime: 66413

Next Prime: 66431

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ³ × 19 ² × 23

Divisors: 1, 2, 4, 8, 19, 23, 38, 46, 76, 92

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10000001101111000

Octal: 201570

Duodecimal: 32534

Hexadecimal: 10378

Square: 4412147776

Square Root: 257.7285393587602

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

Decimal concatenations of the 38 quintuples (d1,d2,d3,d4,d5) with elements in {2,4,6} for which there exists a prime p >= 7 such that the differences between the 6 consecutive primes starting with p are (d1,d2,d3,d4,d5). A78870

The function W_n(8) (see Borwein et al. reference for definition). A169712

Spironacci-style recurrence: a(0)=0, a(1)=1, a(n) = 2·a(n) XOR a(A265409(n)). A265407

E.g.f.: C(x,k) = 1 + Integral S(x,k)*D(x,k)² dx, such that C(x,k)² - S(x,k)² = 1, and D(x,k)² - k²*S(x,k)² = 1, as a triangle of coefficients read by rows. A322231

a(n) is the number of 5 element sets of distinct integer-sided trapezoids whose base angles are 60 degrees that fill an equilateral triangular grid of side n units with a trapezoid filled by 3 trapezoids. A391204

E.g.f.: D(x,k) = dn( i·Integral C(x,k) dx, k) such that C(x,k) = cn( i·Integral C(x,k) dx, k), where D(x,k) = ∑_n>=0 ∑_j=0..n T(n,j) * x^2·n*k^2·j/(2·n)!, as a triangle of coefficients T(n,j) read by rows. A325222

a(n) = 10·n³ - 6·n². A6592

Numbers k such that k and k² use only the digits 1, 2, 4, 6 and 7. A136993

Partial sums of floor(3ⁿ/4). A178222

Triangle of coefficients of the primitive Eulerian polynomials of type D T(n,k) (n >= 2, 1 <= k <= n) read by rows. A363935