7,843,995

3² × 5 × 174311

Starting at 7,843,995, the Collatz iteration reaches 1 after 186 steps. The first transition is 23531986; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5 × 174311

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 13,596,336

Proper Divisor Sum 5,752,341

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #7843981 ← → #7843999

Radix Representation

Decimal	7843995
Binary	11101111011000010011011 (23 bits)
Octal	0o35730233
Hexadecimal	0x77B09B

Divisor Catalog (12)

1 3 5 9 15 45 174,311 522,933 871,555 1,568,799 2,614,665 7,843,995

Collatz Trajectory (186 steps to reach 1)

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

7,843,995 23,531,986 11,765,993 35,297,980 17,648,990 8,824,495 26,473,486 13,236,743 39,710,230 19,855,115 59,565,346 29,782,673 89,348,020 44,674,010 22,337,005 67,011,016 33,505,508 16,752,754 8,376,377 25,129,132 12,564,566 6,282,283 18,846,850 9,423,425 28,270,276 14,135,138 7,067,569 21,202,708 10,601,354 5,300,677 15,902,032 7,951,016 3,975,508 1,987,754 993,877 2,981,632 1,490,816 745,408 372,704 186,352 93,176 46,588 23,294 11,647 34,942 17,471 52,414 26,207 78,622 39,311 117,934 58,967 176,902 88,451 265,354 132,677 398,032 199,016 99,508 49,754

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