57,728,580

2² × 3 × 5 × 7 × 13 × 97 × 109

57,728,580 factors as 2^2 × 3 × 5 × 7 × 13 × 97 × 109. Its 192 positive divisors give a proper-divisor sum of 145,107,900, so this integer is abundant. The Collatz stopping time is 225 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 7 × 13 × 97 × 109

Distinct Prime Factors 7

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 192

Divisor Sum (σ) 202,836,480

Proper Divisor Sum 145,107,900

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #57728579 ← → #57728581

Radix Representation

Decimal	57728580
Binary	11011100001101111001000100 (26 bits)
Octal	0o334157104
Hexadecimal	0x370DE44

Divisor Catalog (60 of 192)

1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 52 60 65 70 78 84 91 97 105 109 130 140 156 182 194 195 210 218 260 273 291 327 364 388 390 420 436 455 485 545 546 582 654 679 763 780 910 970 1,090 1,092

Collatz Trajectory (225 steps to reach 1)

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

57,728,580 28,864,290 14,432,145 43,296,436 21,648,218 10,824,109 32,472,328 16,236,164 8,118,082 4,059,041 12,177,124 6,088,562 3,044,281 9,132,844 4,566,422 2,283,211 6,849,634 3,424,817 10,274,452 5,137,226 2,568,613 7,705,840 3,852,920 1,926,460 963,230 481,615 1,444,846 722,423 2,167,270 1,083,635 3,250,906 1,625,453 4,876,360 2,438,180 1,219,090 609,545 1,828,636 914,318 457,159 1,371,478 685,739 2,057,218 1,028,609 3,085,828 1,542,914 771,457 2,314,372 1,157,186 578,593 1,735,780 867,890 433,945 1,301,836 650,918 325,459 976,378 488,189 1,464,568 732,284 366,142

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