λ
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Atlas › Integer Profiles › Node 3,061,772

3,061,772

22 × 7 × 43 × 2543
Abundant Even Composite

3,061,772 factors as 2^2 × 7 × 43 × 2543. Its 24 positive divisors give a proper-divisor sum of 3,206,644, so this integer is abundant. The Collatz stopping time is 63 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 43 × 2543
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,268,416
Proper Divisor Sum 3,206,644
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #3061763 ← → #3061781

Radix Representation

Decimal 3061772
Binary 1011101011100000001100 (22 bits)
Octal 0o13534014
Hexadecimal 0x2EB80C

Divisor Catalog (24)

1 2 4 7 14 28 43 86 172 301 602 1,204 2,543 5,086 10,172 17,801 35,602 71,204 109,349 218,698 437,396 765,443 1,530,886 3,061,772

Collatz Trajectory (63 steps to reach 1)

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

3,061,772 1,530,886 765,443 2,296,330 1,148,165 3,444,496 1,722,248 861,124 430,562 215,281 645,844 322,922 161,461 484,384 242,192 121,096 60,548 30,274 15,137 45,412 22,706 11,353 34,060 17,030 8,515 25,546 12,773 38,320 19,160 9,580 4,790 2,395 7,186 3,593 10,780 5,390 2,695 8,086 4,043 12,130 6,065 18,196 9,098 4,549 13,648 6,824 3,412 1,706 853 2,560 1,280 640 320 160 80 40 20 10 5 16

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