4,110,405

3 × 5 × 13 × 107 × 197

4,110,405 factors as 3 × 5 × 13 × 107 × 197. Its 32 positive divisors give a proper-divisor sum of 3,074,619, so this integer is deficient. The Collatz stopping time is 198 steps.

Prime Factor Structure

Factorization String 3 × 5 × 13 × 107 × 197

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 7,185,024

Proper Divisor Sum 3,074,619

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #4110401 ← → #4110419

Radix Representation

Decimal	4110405
Binary	1111101011100001000101 (22 bits)
Octal	0o17534105
Hexadecimal	0x3EB845

Divisor Catalog (32)

1 3 5 13 15 39 65 107 195 197 321 535 591 985 1,391 1,605 2,561 2,955 4,173 6,955 7,683 12,805 20,865 21,079 38,415 63,237 105,395 274,027 316,185 822,081 1,370,135 4,110,405

Collatz Trajectory (198 steps to reach 1)

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

4,110,405 12,331,216 6,165,608 3,082,804 1,541,402 770,701 2,312,104 1,156,052 578,026 289,013 867,040 433,520 216,760 108,380 54,190 27,095 81,286 40,643 121,930 60,965 182,896 91,448 45,724 22,862 11,431 34,294 17,147 51,442 25,721 77,164 38,582 19,291 57,874 28,937 86,812 43,406 21,703 65,110 32,555 97,666 48,833 146,500 73,250 36,625 109,876 54,938 27,469 82,408 41,204 20,602 10,301 30,904 15,452 7,726 3,863 11,590 5,795 17,386 8,693 26,080

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