λ
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Atlas › Integer Profiles › Node 3,201,692

3,201,692

22 × 13 × 23 × 2677
Deficient Even Composite

3,201,692 factors as 2^2 × 13 × 23 × 2677. Its 24 positive divisors give a proper-divisor sum of 3,096,964, so this integer is deficient. The Collatz stopping time is 257 steps.

Prime Factor Structure

Factorization String 2^2 × 13 × 23 × 2677
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,298,656
Proper Divisor Sum 3,096,964
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #3201689 ← → #3201697

Radix Representation

Decimal 3201692
Binary 1100001101101010011100 (22 bits)
Octal 0o14155234
Hexadecimal 0x30DA9C

Divisor Catalog (24)

1 2 4 13 23 26 46 52 92 299 598 1,196 2,677 5,354 10,708 34,801 61,571 69,602 123,142 139,204 246,284 800,423 1,600,846 3,201,692

Collatz Trajectory (257 steps to reach 1)

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

3,201,692 1,600,846 800,423 2,401,270 1,200,635 3,601,906 1,800,953 5,402,860 2,701,430 1,350,715 4,052,146 2,026,073 6,078,220 3,039,110 1,519,555 4,558,666 2,279,333 6,838,000 3,419,000 1,709,500 854,750 427,375 1,282,126 641,063 1,923,190 961,595 2,884,786 1,442,393 4,327,180 2,163,590 1,081,795 3,245,386 1,622,693 4,868,080 2,434,040 1,217,020 608,510 304,255 912,766 456,383 1,369,150 684,575 2,053,726 1,026,863 3,080,590 1,540,295 4,620,886 2,310,443 6,931,330 3,465,665 10,396,996 5,198,498 2,599,249 7,797,748 3,898,874 1,949,437 5,848,312 2,924,156 1,462,078 731,039

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