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Atlas › Integer Profiles › Node 32,005,780

32,005,780

22 × 5 × 769 × 2081
Abundant Even Composite

32,005,780 factors as 2^2 × 5 × 769 × 2081. Its 24 positive divisors give a proper-divisor sum of 35,326,100, so this integer is abundant. The Collatz stopping time is 144 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 769 × 2081
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 67,331,880
Proper Divisor Sum 35,326,100
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #32005741 ← → #32005783

Radix Representation

Decimal 32005780
Binary 1111010000101111010010100 (25 bits)
Octal 0o172057224
Hexadecimal 0x1E85E94

Divisor Catalog (24)

1 2 4 5 10 20 769 1,538 2,081 3,076 3,845 4,162 7,690 8,324 10,405 15,380 20,810 41,620 1,600,289 3,200,578 6,401,156 8,001,445 16,002,890 32,005,780

Collatz Trajectory (144 steps to reach 1)

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

32,005,780 16,002,890 8,001,445 24,004,336 12,002,168 6,001,084 3,000,542 1,500,271 4,500,814 2,250,407 6,751,222 3,375,611 10,126,834 5,063,417 15,190,252 7,595,126 3,797,563 11,392,690 5,696,345 17,089,036 8,544,518 4,272,259 12,816,778 6,408,389 19,225,168 9,612,584 4,806,292 2,403,146 1,201,573 3,604,720 1,802,360 901,180 450,590 225,295 675,886 337,943 1,013,830 506,915 1,520,746 760,373 2,281,120 1,140,560 570,280 285,140 142,570 71,285 213,856 106,928 53,464 26,732 13,366 6,683 20,050 10,025 30,076 15,038 7,519 22,558 11,279 33,838

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