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Atlas › Integer Profiles › Node 32,095,040

32,095,040

26 × 5 × 100297
Abundant Even Composite

32,095,040 factors as 2^6 × 5 × 100297. Its 28 positive divisors give a proper-divisor sum of 44,332,036, so this integer is abundant. The Collatz stopping time is 170 steps.

Prime Factor Structure

Factorization String 2^6 × 5 × 100297
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 76,427,076
Proper Divisor Sum 44,332,036
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #32095033 ← → #32095079

Radix Representation

Decimal 32095040
Binary 1111010011011101101000000 (25 bits)
Octal 0o172335500
Hexadecimal 0x1E9BB40

Divisor Catalog (28)

1 2 4 5 8 10 16 20 32 40 64 80 160 320 100,297 200,594 401,188 501,485 802,376 1,002,970 1,604,752 2,005,940 3,209,504 4,011,880 6,419,008 8,023,760 16,047,520 32,095,040

Collatz Trajectory (170 steps to reach 1)

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

32,095,040 16,047,520 8,023,760 4,011,880 2,005,940 1,002,970 501,485 1,504,456 752,228 376,114 188,057 564,172 282,086 141,043 423,130 211,565 634,696 317,348 158,674 79,337 238,012 119,006 59,503 178,510 89,255 267,766 133,883 401,650 200,825 602,476 301,238 150,619 451,858 225,929 677,788 338,894 169,447 508,342 254,171 762,514 381,257 1,143,772 571,886 285,943 857,830 428,915 1,286,746 643,373 1,930,120 965,060 482,530 241,265 723,796 361,898 180,949 542,848 271,424 135,712 67,856 33,928

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