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Atlas › Integer Profiles › Node 3,945,336

3,945,336

23 × 3 × 43 × 3823
Abundant Even Composite

3,945,336 factors as 2^3 × 3 × 43 × 3823. Its 32 positive divisors give a proper-divisor sum of 6,150,024, so this integer is abundant. The Collatz stopping time is 291 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 43 × 3823
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 10,095,360
Proper Divisor Sum 6,150,024
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3945329 ← → #3945341

Radix Representation

Decimal 3945336
Binary 1111000011001101111000 (22 bits)
Octal 0o17031570
Hexadecimal 0x3C3378

Divisor Catalog (32)

1 2 3 4 6 8 12 24 43 86 129 172 258 344 516 1,032 3,823 7,646 11,469 15,292 22,938 30,584 45,876 91,752 164,389 328,778 493,167 657,556 986,334 1,315,112 1,972,668 3,945,336

Collatz Trajectory (291 steps to reach 1)

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

3,945,336 1,972,668 986,334 493,167 1,479,502 739,751 2,219,254 1,109,627 3,328,882 1,664,441 4,993,324 2,496,662 1,248,331 3,744,994 1,872,497 5,617,492 2,808,746 1,404,373 4,213,120 2,106,560 1,053,280 526,640 263,320 131,660 65,830 32,915 98,746 49,373 148,120 74,060 37,030 18,515 55,546 27,773 83,320 41,660 20,830 10,415 31,246 15,623 46,870 23,435 70,306 35,153 105,460 52,730 26,365 79,096 39,548 19,774 9,887 29,662 14,831 44,494 22,247 66,742 33,371 100,114 50,057 150,172

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