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Atlas › Integer Profiles › Node 3,928,632

3,928,632

23 × 3 × 17 × 9629
Abundant Even Composite

3,928,632 factors as 2^3 × 3 × 17 × 9629. Its 32 positive divisors give a proper-divisor sum of 6,471,768, so this integer is abundant. The Collatz stopping time is 216 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 17 × 9629
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 10,400,400
Proper Divisor Sum 6,471,768
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3928621 ← → #3928637

Radix Representation

Decimal 3928632
Binary 1110111111001000111000 (22 bits)
Octal 0o16771070
Hexadecimal 0x3BF238

Divisor Catalog (32)

1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 9,629 19,258 28,887 38,516 57,774 77,032 115,548 163,693 231,096 327,386 491,079 654,772 982,158 1,309,544 1,964,316 3,928,632

Collatz Trajectory (216 steps to reach 1)

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

3,928,632 1,964,316 982,158 491,079 1,473,238 736,619 2,209,858 1,104,929 3,314,788 1,657,394 828,697 2,486,092 1,243,046 621,523 1,864,570 932,285 2,796,856 1,398,428 699,214 349,607 1,048,822 524,411 1,573,234 786,617 2,359,852 1,179,926 589,963 1,769,890 884,945 2,654,836 1,327,418 663,709 1,991,128 995,564 497,782 248,891 746,674 373,337 1,120,012 560,006 280,003 840,010 420,005 1,260,016 630,008 315,004 157,502 78,751 236,254 118,127 354,382 177,191 531,574 265,787 797,362 398,681 1,196,044 598,022 299,011 897,034

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