7,881,132

2² × 3 × 7 × 17 × 5519

Starting at 7,881,132, the Collatz iteration reaches 1 after 186 steps. The first transition is 3940566; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 17 × 5519

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 22,256,640

Proper Divisor Sum 14,375,508

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #7881113 ← → #7881151

Radix Representation

Decimal	7881132
Binary	11110000100000110101100 (23 bits)
Octal	0o36040654
Hexadecimal	0x7841AC

Divisor Catalog (48)

1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 357 476 714 1,428 5,519 11,038 16,557 22,076 33,114 38,633 66,228 77,266 93,823 115,899 154,532 187,646 231,798 281,469 375,292 463,596 562,938 656,761 1,125,876 1,313,522 1,970,283 2,627,044 3,940,566 7,881,132

Collatz Trajectory (186 steps to reach 1)

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

7,881,132 3,940,566 1,970,283 5,910,850 2,955,425 8,866,276 4,433,138 2,216,569 6,649,708 3,324,854 1,662,427 4,987,282 2,493,641 7,480,924 3,740,462 1,870,231 5,610,694 2,805,347 8,416,042 4,208,021 12,624,064 6,312,032 3,156,016 1,578,008 789,004 394,502 197,251 591,754 295,877 887,632 443,816 221,908 110,954 55,477 166,432 83,216 41,608 20,804 10,402 5,201 15,604 7,802 3,901 11,704 5,852 2,926 1,463 4,390 2,195 6,586 3,293 9,880 4,940 2,470 1,235 3,706 1,853 5,560 2,780 1,390

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