7,936,080

2⁴ × 3 × 5 × 43 × 769

7,936,080 factors as 2^4 × 3 × 5 × 43 × 769. Its 80 positive divisors give a proper-divisor sum of 17,270,640, so this integer is abundant. The Collatz stopping time is 124 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 43 × 769

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 25,206,720

Proper Divisor Sum 17,270,640

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #7936079 ← → #7936109

Radix Representation

Decimal	7936080
Binary	11110010001100001010000 (23 bits)
Octal	0o36214120
Hexadecimal	0x791850

Divisor Catalog (60 of 80)

1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 43 48 60 80 86 120 129 172 215 240 258 344 430 516 645 688 769 860 1,032 1,290 1,538 1,720 2,064 2,307 2,580 3,076 3,440 3,845 4,614 5,160 6,152 7,690 9,228 10,320 11,535 12,304 15,380 18,456 23,070 30,760 33,067 36,912 46,140 61,520 66,134

Collatz Trajectory (124 steps to reach 1)

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

7,936,080 3,968,040 1,984,020 992,010 496,005 1,488,016 744,008 372,004 186,002 93,001 279,004 139,502 69,751 209,254 104,627 313,882 156,941 470,824 235,412 117,706 58,853 176,560 88,280 44,140 22,070 11,035 33,106 16,553 49,660 24,830 12,415 37,246 18,623 55,870 27,935 83,806 41,903 125,710 62,855 188,566 94,283 282,850 141,425 424,276 212,138 106,069 318,208 159,104 79,552 39,776 19,888 9,944 4,972 2,486 1,243 3,730 1,865 5,596 2,798 1,399

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