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Atlas › Integer Profiles › Node 3,962,800

3,962,800

24 × 52 × 9907
Abundant Even Composite

3,962,800 factors as 2^4 × 5^2 × 9907. Its 30 positive divisors give a proper-divisor sum of 5,558,788, so this integer is abundant. The Collatz stopping time is 198 steps.

Prime Factor Structure

Factorization String 2^4 × 5^2 × 9907
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 9,521,588
Proper Divisor Sum 5,558,788
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #3962789 ← → #3962807

Radix Representation

Decimal 3962800
Binary 1111000111011110110000 (22 bits)
Octal 0o17073660
Hexadecimal 0x3C77B0

Divisor Catalog (30)

1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 9,907 19,814 39,628 49,535 79,256 99,070 158,512 198,140 247,675 396,280 495,350 792,560 990,700 1,981,400 3,962,800

Collatz Trajectory (198 steps to reach 1)

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

3,962,800 1,981,400 990,700 495,350 247,675 743,026 371,513 1,114,540 557,270 278,635 835,906 417,953 1,253,860 626,930 313,465 940,396 470,198 235,099 705,298 352,649 1,057,948 528,974 264,487 793,462 396,731 1,190,194 595,097 1,785,292 892,646 446,323 1,338,970 669,485 2,008,456 1,004,228 502,114 251,057 753,172 376,586 188,293 564,880 282,440 141,220 70,610 35,305 105,916 52,958 26,479 79,438 39,719 119,158 59,579 178,738 89,369 268,108 134,054 67,027 201,082 100,541 301,624 150,812

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