3,857,967

3² × 428663

3,857,967 factors as 3^2 × 428663. Its 6 positive divisors give a proper-divisor sum of 1,714,665, so this integer is deficient. The Collatz stopping time is 353 steps.

Prime Factor Structure

Factorization String 3^2 × 428663

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 5,572,632

Proper Divisor Sum 1,714,665

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #3857941 ← → #3857983

Radix Representation

Decimal	3857967
Binary	1110101101111000101111 (22 bits)
Octal	0o16557057
Hexadecimal	0x3ADE2F

Divisor Catalog (6)

1 3 9 428,663 1,285,989 3,857,967

Collatz Trajectory (353 steps to reach 1)

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

3,857,967 11,573,902 5,786,951 17,360,854 8,680,427 26,041,282 13,020,641 39,061,924 19,530,962 9,765,481 29,296,444 14,648,222 7,324,111 21,972,334 10,986,167 32,958,502 16,479,251 49,437,754 24,718,877 74,156,632 37,078,316 18,539,158 9,269,579 27,808,738 13,904,369 41,713,108 20,856,554 10,428,277 31,284,832 15,642,416 7,821,208 3,910,604 1,955,302 977,651 2,932,954 1,466,477 4,399,432 2,199,716 1,099,858 549,929 1,649,788 824,894 412,447 1,237,342 618,671 1,856,014 928,007 2,784,022 1,392,011 4,176,034 2,088,017 6,264,052 3,132,026 1,566,013 4,698,040 2,349,020 1,174,510 587,255 1,761,766 880,883

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