57,721,840

2⁴ × 5 × 11² × 67 × 89

57,721,840 factors as 2^4 × 5 × 11^2 × 67 × 89. Its 120 positive divisors give a proper-divisor sum of 93,674,720, so this integer is abundant. The Collatz stopping time is 75 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 11^2 × 67 × 89

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 151,396,560

Proper Divisor Sum 93,674,720

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #57721837 ← → #57721849

Radix Representation

Decimal	57721840
Binary	11011100001100001111110000 (26 bits)
Octal	0o334141760
Hexadecimal	0x370C3F0

Divisor Catalog (60 of 120)

1 2 4 5 8 10 11 16 20 22 40 44 55 67 80 88 89 110 121 134 176 178 220 242 268 335 356 440 445 484 536 605 670 712 737 880 890 968 979 1,072 1,210 1,340 1,424 1,474 1,780 1,936 1,958 2,420 2,680 2,948 3,560 3,685 3,916 4,840 4,895 5,360 5,896 5,963 7,120 7,370

Collatz Trajectory (75 steps to reach 1)

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

57,721,840 28,860,920 14,430,460 7,215,230 3,607,615 10,822,846 5,411,423 16,234,270 8,117,135 24,351,406 12,175,703 36,527,110 18,263,555 54,790,666 27,395,333 82,186,000 41,093,000 20,546,500 10,273,250 5,136,625 15,409,876 7,704,938 3,852,469 11,557,408 5,778,704 2,889,352 1,444,676 722,338 361,169 1,083,508 541,754 270,877 812,632 406,316 203,158 101,579 304,738 152,369 457,108 228,554 114,277 342,832 171,416 85,708 42,854 21,427 64,282 32,141 96,424 48,212 24,106 12,053 36,160 18,080 9,040 4,520 2,260 1,130 565 1,696

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