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Atlas › Integer Profiles › Node 3,868,065

3,868,065

32 × 5 × 43 × 1999
Deficient Odd Composite

3,868,065 factors as 3^2 × 5 × 43 × 1999. Its 24 positive divisors give a proper-divisor sum of 2,995,935, so this integer is deficient. The Collatz stopping time is 97 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 43 × 1999
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,864,000
Proper Divisor Sum 2,995,935
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3868057 ← → #3868079

Radix Representation

Decimal 3868065
Binary 1110110000010110100001 (22 bits)
Octal 0o16602641
Hexadecimal 0x3B05A1

Divisor Catalog (24)

1 3 5 9 15 43 45 129 215 387 645 1,935 1,999 5,997 9,995 17,991 29,985 85,957 89,955 257,871 429,785 773,613 1,289,355 3,868,065

Collatz Trajectory (97 steps to reach 1)

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

3,868,065 11,604,196 5,802,098 2,901,049 8,703,148 4,351,574 2,175,787 6,527,362 3,263,681 9,791,044 4,895,522 2,447,761 7,343,284 3,671,642 1,835,821 5,507,464 2,753,732 1,376,866 688,433 2,065,300 1,032,650 516,325 1,548,976 774,488 387,244 193,622 96,811 290,434 145,217 435,652 217,826 108,913 326,740 163,370 81,685 245,056 122,528 61,264 30,632 15,316 7,658 3,829 11,488 5,744 2,872 1,436 718 359 1,078 539 1,618 809 2,428 1,214 607 1,822 911 2,734 1,367 4,102

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