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Atlas › Integer Profiles › Node 31,865,500

31,865,500

22 × 53 × 101 × 631
Abundant Even Composite

31,865,500 factors as 2^2 × 5^3 × 101 × 631. Its 48 positive divisors give a proper-divisor sum of 38,529,188, so this integer is abundant. The Collatz stopping time is 232 steps.

Prime Factor Structure

Factorization String 2^2 × 5^3 × 101 × 631
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 70,394,688
Proper Divisor Sum 38,529,188
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #31865467 ← → #31865503

Radix Representation

Decimal 31865500
Binary 1111001100011101010011100 (25 bits)
Octal 0o171435234
Hexadecimal 0x1E63A9C

Divisor Catalog (48)

1 2 4 5 10 20 25 50 100 101 125 202 250 404 500 505 631 1,010 1,262 2,020 2,524 2,525 3,155 5,050 6,310 10,100 12,620 12,625 15,775 25,250 31,550 50,500 63,100 63,731 78,875 127,462 157,750 254,924 315,500 318,655 637,310 1,274,620 1,593,275 3,186,550 6,373,100 7,966,375 15,932,750 31,865,500

Collatz Trajectory (232 steps to reach 1)

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

31,865,500 15,932,750 7,966,375 23,899,126 11,949,563 35,848,690 17,924,345 53,773,036 26,886,518 13,443,259 40,329,778 20,164,889 60,494,668 30,247,334 15,123,667 45,371,002 22,685,501 68,056,504 34,028,252 17,014,126 8,507,063 25,521,190 12,760,595 38,281,786 19,140,893 57,422,680 28,711,340 14,355,670 7,177,835 21,533,506 10,766,753 32,300,260 16,150,130 8,075,065 24,225,196 12,112,598 6,056,299 18,168,898 9,084,449 27,253,348 13,626,674 6,813,337 20,440,012 10,220,006 5,110,003 15,330,010 7,665,005 22,995,016 11,497,508 5,748,754 2,874,377 8,623,132 4,311,566 2,155,783 6,467,350 3,233,675 9,701,026 4,850,513 14,551,540 7,275,770

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