8,740,320

2⁵ × 3 × 5 × 131 × 139

8,740,320 factors as 2^5 × 3 × 5 × 131 × 139. Its 96 positive divisors give a proper-divisor sum of 19,201,440, so this integer is abundant. The Collatz stopping time is 150 steps.

Prime Factor Structure

Factorization String 2^5 × 3 × 5 × 131 × 139

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 27,941,760

Proper Divisor Sum 19,201,440

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #8740301 ← → #8740321

Radix Representation

Decimal	8740320
Binary	100001010101110111100000 (24 bits)
Octal	0o41256740
Hexadecimal	0x855DE0

Divisor Catalog (60 of 96)

1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 131 139 160 240 262 278 393 417 480 524 556 655 695 786 834 1,048 1,112 1,310 1,390 1,572 1,668 1,965 2,085 2,096 2,224 2,620 2,780 3,144 3,336 3,930 4,170 4,192 4,448 5,240 5,560 6,288 6,672 7,860 8,340

Collatz Trajectory (150 steps to reach 1)

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

8,740,320 4,370,160 2,185,080 1,092,540 546,270 273,135 819,406 409,703 1,229,110 614,555 1,843,666 921,833 2,765,500 1,382,750 691,375 2,074,126 1,037,063 3,111,190 1,555,595 4,666,786 2,333,393 7,000,180 3,500,090 1,750,045 5,250,136 2,625,068 1,312,534 656,267 1,968,802 984,401 2,953,204 1,476,602 738,301 2,214,904 1,107,452 553,726 276,863 830,590 415,295 1,245,886 622,943 1,868,830 934,415 2,803,246 1,401,623 4,204,870 2,102,435 6,307,306 3,153,653 9,460,960 4,730,480 2,365,240 1,182,620 591,310 295,655 886,966 443,483 1,330,450 665,225 1,995,676

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