6,128,160

2⁵ × 3 × 5 × 17 × 751

6,128,160 factors as 2^5 × 3 × 5 × 17 × 751. Its 96 positive divisors give a proper-divisor sum of 14,338,272, so this integer is abundant. The Collatz stopping time is 103 steps.

Prime Factor Structure

Factorization String 2^5 × 3 × 5 × 17 × 751

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 20,466,432

Proper Divisor Sum 14,338,272

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #6128159 ← → #6128167

Radix Representation

Decimal	6128160
Binary	10111011000001000100000 (23 bits)
Octal	0o27301040
Hexadecimal	0x5D8220

Divisor Catalog (60 of 96)

1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 68 80 85 96 102 120 136 160 170 204 240 255 272 340 408 480 510 544 680 751 816 1,020 1,360 1,502 1,632 2,040 2,253 2,720 3,004 3,755 4,080 4,506 6,008 7,510 8,160 9,012 11,265 12,016 12,767

Collatz Trajectory (103 steps to reach 1)

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

6,128,160 3,064,080 1,532,040 766,020 383,010 191,505 574,516 287,258 143,629 430,888 215,444 107,722 53,861 161,584 80,792 40,396 20,198 10,099 30,298 15,149 45,448 22,724 11,362 5,681 17,044 8,522 4,261 12,784 6,392 3,196 1,598 799 2,398 1,199 3,598 1,799 5,398 2,699 8,098 4,049 12,148 6,074 3,037 9,112 4,556 2,278 1,139 3,418 1,709 5,128 2,564 1,282 641 1,924 962 481 1,444 722 361 1,084

More profiles

6,920,648 587,878 8,707,310 8,364,659 2,258,844 5,215,586 9,761,082 8,564,473 3,778,855 3,284,876 8,797,132 6,494,450 4,159,966 2,998,214 1,340,042 2,966,201

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