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Atlas › Integer Profiles › Node 3,929,656

3,929,656

23 × 19 × 103 × 251
Abundant Even Composite

3,929,656 factors as 2^3 × 19 × 103 × 251. Its 32 positive divisors give a proper-divisor sum of 3,932,744, so this integer is abundant. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 2^3 × 19 × 103 × 251
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,862,400
Proper Divisor Sum 3,932,744
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #3929633 ← → #3929657

Radix Representation

Decimal 3929656
Binary 1110111111011000111000 (22 bits)
Octal 0o16773070
Hexadecimal 0x3BF638

Divisor Catalog (32)

1 2 4 8 19 38 76 103 152 206 251 412 502 824 1,004 1,957 2,008 3,914 4,769 7,828 9,538 15,656 19,076 25,853 38,152 51,706 103,412 206,824 491,207 982,414 1,964,828 3,929,656

Collatz Trajectory (123 steps to reach 1)

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

3,929,656 1,964,828 982,414 491,207 1,473,622 736,811 2,210,434 1,105,217 3,315,652 1,657,826 828,913 2,486,740 1,243,370 621,685 1,865,056 932,528 466,264 233,132 116,566 58,283 174,850 87,425 262,276 131,138 65,569 196,708 98,354 49,177 147,532 73,766 36,883 110,650 55,325 165,976 82,988 41,494 20,747 62,242 31,121 93,364 46,682 23,341 70,024 35,012 17,506 8,753 26,260 13,130 6,565 19,696 9,848 4,924 2,462 1,231 3,694 1,847 5,542 2,771 8,314 4,157

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