λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,940,848

3,940,848

24 × 32 × 27367
Abundant Even Composite

3,940,848 factors as 2^4 × 3^2 × 27367. Its 30 positive divisors give a proper-divisor sum of 7,088,456, so this integer is abundant. The Collatz stopping time is 185 steps.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 27367
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 11,029,304
Proper Divisor Sum 7,088,456
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3940841 ← → #3940891

Radix Representation

Decimal 3940848
Binary 1111000010000111110000 (22 bits)
Octal 0o17020760
Hexadecimal 0x3C21F0

Divisor Catalog (30)

1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 27,367 54,734 82,101 109,468 164,202 218,936 246,303 328,404 437,872 492,606 656,808 985,212 1,313,616 1,970,424 3,940,848

Collatz Trajectory (185 steps to reach 1)

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

3,940,848 1,970,424 985,212 492,606 246,303 738,910 369,455 1,108,366 554,183 1,662,550 831,275 2,493,826 1,246,913 3,740,740 1,870,370 935,185 2,805,556 1,402,778 701,389 2,104,168 1,052,084 526,042 263,021 789,064 394,532 197,266 98,633 295,900 147,950 73,975 221,926 110,963 332,890 166,445 499,336 249,668 124,834 62,417 187,252 93,626 46,813 140,440 70,220 35,110 17,555 52,666 26,333 79,000 39,500 19,750 9,875 29,626 14,813 44,440 22,220 11,110 5,555 16,666 8,333 25,000

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #3,940,847 Browse Full Index Next Integer #3,940,849 →