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4,593,968

24 × 41 × 47 × 149
Abundant Even Composite

4,593,968 factors as 2^4 × 41 × 47 × 149. Its 40 positive divisors give a proper-divisor sum of 4,780,432, so this integer is abundant. The Collatz stopping time is 149 steps.

Prime Factor Structure

Factorization String 2^4 × 41 × 47 × 149
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 9,374,400
Proper Divisor Sum 4,780,432
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #4593959 ← → #4593973

Radix Representation

Decimal 4593968
Binary 10001100001100100110000 (23 bits)
Octal 0o21414460
Hexadecimal 0x461930

Divisor Catalog (40)

1 2 4 8 16 41 47 82 94 149 164 188 298 328 376 596 656 752 1,192 1,927 2,384 3,854 6,109 7,003 7,708 12,218 14,006 15,416 24,436 28,012 30,832 48,872 56,024 97,744 112,048 287,123 574,246 1,148,492 2,296,984 4,593,968

Collatz Trajectory (149 steps to reach 1)

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

4,593,968 2,296,984 1,148,492 574,246 287,123 861,370 430,685 1,292,056 646,028 323,014 161,507 484,522 242,261 726,784 363,392 181,696 90,848 45,424 22,712 11,356 5,678 2,839 8,518 4,259 12,778 6,389 19,168 9,584 4,792 2,396 1,198 599 1,798 899 2,698 1,349 4,048 2,024 1,012 506 253 760 380 190 95 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274 137

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