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Atlas › Integer Profiles › Node 9,981,620

9,981,620

22 × 5 × 11 × 59 × 769
Abundant Even Composite

9,981,620 factors as 2^2 × 5 × 11 × 59 × 769. Its 48 positive divisors give a proper-divisor sum of 13,303,180, so this integer is abundant. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 11 × 59 × 769
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 23,284,800
Proper Divisor Sum 13,303,180
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #9981611 ← → #9981637

Radix Representation

Decimal 9981620
Binary 100110000100111010110100 (24 bits)
Octal 0o46047264
Hexadecimal 0x984EB4

Divisor Catalog (48)

1 2 4 5 10 11 20 22 44 55 59 110 118 220 236 295 590 649 769 1,180 1,298 1,538 2,596 3,076 3,245 3,845 6,490 7,690 8,459 12,980 15,380 16,918 33,836 42,295 45,371 84,590 90,742 169,180 181,484 226,855 453,710 499,081 907,420 998,162 1,996,324 2,495,405 4,990,810 9,981,620

Collatz Trajectory (137 steps to reach 1)

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

9,981,620 4,990,810 2,495,405 7,486,216 3,743,108 1,871,554 935,777 2,807,332 1,403,666 701,833 2,105,500 1,052,750 526,375 1,579,126 789,563 2,368,690 1,184,345 3,553,036 1,776,518 888,259 2,664,778 1,332,389 3,997,168 1,998,584 999,292 499,646 249,823 749,470 374,735 1,124,206 562,103 1,686,310 843,155 2,529,466 1,264,733 3,794,200 1,897,100 948,550 474,275 1,422,826 711,413 2,134,240 1,067,120 533,560 266,780 133,390 66,695 200,086 100,043 300,130 150,065 450,196 225,098 112,549 337,648 168,824 84,412 42,206 21,103 63,310

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