5,664,024

2³ × 3² × 97 × 811

5,664,024 has the prime decomposition 2^3 × 3^2 × 97 × 811. Its 4 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 97 × 811

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 15,517,320

Proper Divisor Sum 9,853,296

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #5664013 ← → #5664031

Radix Representation

Decimal	5664024
Binary	10101100110110100011000 (23 bits)
Octal	0o25466430
Hexadecimal	0x566D18

Divisor Catalog (48)

1 2 3 4 6 8 9 12 18 24 36 72 97 194 291 388 582 776 811 873 1,164 1,622 1,746 2,328 2,433 3,244 3,492 4,866 6,488 6,984 7,299 9,732 14,598 19,464 29,196 58,392 78,667 157,334 236,001 314,668 472,002 629,336 708,003 944,004 1,416,006 1,888,008 2,832,012 5,664,024

Collatz Trajectory (214 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

5,664,024 2,832,012 1,416,006 708,003 2,124,010 1,062,005 3,186,016 1,593,008 796,504 398,252 199,126 99,563 298,690 149,345 448,036 224,018 112,009 336,028 168,014 84,007 252,022 126,011 378,034 189,017 567,052 283,526 141,763 425,290 212,645 637,936 318,968 159,484 79,742 39,871 119,614 59,807 179,422 89,711 269,134 134,567 403,702 201,851 605,554 302,777 908,332 454,166 227,083 681,250 340,625 1,021,876 510,938 255,469 766,408 383,204 191,602 95,801 287,404 143,702 71,851 215,554

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