3,728,612

2² × 932153

3,728,612 factors as 2^2 × 932153. Its 6 positive divisors give a proper-divisor sum of 2,796,466, so this integer is deficient. The Collatz stopping time is 190 steps.

Prime Factor Structure

Factorization String 2^2 × 932153

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 6,525,078

Proper Divisor Sum 2,796,466

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #3728611 ← → #3728633

Radix Representation

Decimal	3728612
Binary	1110001110010011100100 (22 bits)
Octal	0o16162344
Hexadecimal	0x38E4E4

Divisor Catalog (6)

1 2 4 932,153 1,864,306 3,728,612

Collatz Trajectory (190 steps to reach 1)

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

3,728,612 1,864,306 932,153 2,796,460 1,398,230 699,115 2,097,346 1,048,673 3,146,020 1,573,010 786,505 2,359,516 1,179,758 589,879 1,769,638 884,819 2,654,458 1,327,229 3,981,688 1,990,844 995,422 497,711 1,493,134 746,567 2,239,702 1,119,851 3,359,554 1,679,777 5,039,332 2,519,666 1,259,833 3,779,500 1,889,750 944,875 2,834,626 1,417,313 4,251,940 2,125,970 1,062,985 3,188,956 1,594,478 797,239 2,391,718 1,195,859 3,587,578 1,793,789 5,381,368 2,690,684 1,345,342 672,671 2,018,014 1,009,007 3,027,022 1,513,511 4,540,534 2,270,267 6,810,802 3,405,401 10,216,204 5,108,102

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