57,743,840

2⁵ × 5 × 7 × 11 × 43 × 109

57,743,840 factors as 2^5 × 5 × 7 × 11 × 43 × 109. Its 192 positive divisors give a proper-divisor sum of 117,890,080, so this integer is abundant. The Collatz stopping time is 238 steps.

Prime Factor Structure

Factorization String 2^5 × 5 × 7 × 11 × 43 × 109

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 192

Divisor Sum (σ) 175,633,920

Proper Divisor Sum 117,890,080

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #57743839 ← → #57743879

Radix Representation

Decimal	57743840
Binary	11011100010001100111100000 (26 bits)
Octal	0o334214740
Hexadecimal	0x37119E0

Divisor Catalog (60 of 192)

1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 43 44 55 56 70 77 80 86 88 109 110 112 140 154 160 172 176 215 218 220 224 280 301 308 344 352 385 430 436 440 473 545 560 602 616 688 763 770 860 872 880 946 1,090 1,120

Collatz Trajectory (238 steps to reach 1)

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

57,743,840 28,871,920 14,435,960 7,217,980 3,608,990 1,804,495 5,413,486 2,706,743 8,120,230 4,060,115 12,180,346 6,090,173 18,270,520 9,135,260 4,567,630 2,283,815 6,851,446 3,425,723 10,277,170 5,138,585 15,415,756 7,707,878 3,853,939 11,561,818 5,780,909 17,342,728 8,671,364 4,335,682 2,167,841 6,503,524 3,251,762 1,625,881 4,877,644 2,438,822 1,219,411 3,658,234 1,829,117 5,487,352 2,743,676 1,371,838 685,919 2,057,758 1,028,879 3,086,638 1,543,319 4,629,958 2,314,979 6,944,938 3,472,469 10,417,408 5,208,704 2,604,352 1,302,176 651,088 325,544 162,772 81,386 40,693 122,080 61,040

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