3,909,468

2² × 3 × 103 × 3163

3,909,468 factors as 2^2 × 3 × 103 × 3163. Its 24 positive divisors give a proper-divisor sum of 5,304,100, so this integer is abundant. The Collatz stopping time is 198 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 103 × 3163

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 9,213,568

Proper Divisor Sum 5,304,100

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #3909467 ← → #3909469

Radix Representation

Decimal	3909468
Binary	1110111010011101011100 (22 bits)
Octal	0o16723534
Hexadecimal	0x3BA75C

Divisor Catalog (24)

Collatz Trajectory (198 steps to reach 1)

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

3,909,468 1,954,734 977,367 2,932,102 1,466,051 4,398,154 2,199,077 6,597,232 3,298,616 1,649,308 824,654 412,327 1,236,982 618,491 1,855,474 927,737 2,783,212 1,391,606 695,803 2,087,410 1,043,705 3,131,116 1,565,558 782,779 2,348,338 1,174,169 3,522,508 1,761,254 880,627 2,641,882 1,320,941 3,962,824 1,981,412 990,706 495,353 1,486,060 743,030 371,515 1,114,546 557,273 1,671,820 835,910 417,955 1,253,866 626,933 1,880,800 940,400 470,200 235,100 117,550 58,775 176,326 88,163 264,490 132,245 396,736 198,368 99,184 49,592 24,796

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