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Atlas › Integer Profiles › Node 32,101,744

32,101,744

24 × 23 × 83 × 1051
Abundant Even Composite

32,101,744 factors as 2^4 × 23 × 83 × 1051. Its 40 positive divisors give a proper-divisor sum of 33,644,048, so this integer is abundant. The Collatz stopping time is 276 steps.

Prime Factor Structure

Factorization String 2^4 × 23 × 83 × 1051
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 65,745,792
Proper Divisor Sum 33,644,048
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #32101733 ← → #32101747

Radix Representation

Decimal 32101744
Binary 1111010011101010101110000 (25 bits)
Octal 0o172352560
Hexadecimal 0x1E9D570

Divisor Catalog (40)

1 2 4 8 16 23 46 83 92 166 184 332 368 664 1,051 1,328 1,909 2,102 3,818 4,204 7,636 8,408 15,272 16,816 24,173 30,544 48,346 87,233 96,692 174,466 193,384 348,932 386,768 697,864 1,395,728 2,006,359 4,012,718 8,025,436 16,050,872 32,101,744

Collatz Trajectory (276 steps to reach 1)

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

32,101,744 16,050,872 8,025,436 4,012,718 2,006,359 6,019,078 3,009,539 9,028,618 4,514,309 13,542,928 6,771,464 3,385,732 1,692,866 846,433 2,539,300 1,269,650 634,825 1,904,476 952,238 476,119 1,428,358 714,179 2,142,538 1,071,269 3,213,808 1,606,904 803,452 401,726 200,863 602,590 301,295 903,886 451,943 1,355,830 677,915 2,033,746 1,016,873 3,050,620 1,525,310 762,655 2,287,966 1,143,983 3,431,950 1,715,975 5,147,926 2,573,963 7,721,890 3,860,945 11,582,836 5,791,418 2,895,709 8,687,128 4,343,564 2,171,782 1,085,891 3,257,674 1,628,837 4,886,512 2,443,256 1,221,628

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