λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,940,368

3,940,368

24 × 3 × 103 × 797
Abundant Even Composite

3,940,368 factors as 2^4 × 3 × 103 × 797. Its 40 positive divisors give a proper-divisor sum of 6,350,640, so this integer is abundant. The Collatz stopping time is 216 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 103 × 797
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 10,291,008
Proper Divisor Sum 6,350,640
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3940367 ← → #3940369

Radix Representation

Decimal 3940368
Binary 1111000010000000010000 (22 bits)
Octal 0o17020020
Hexadecimal 0x3C2010

Divisor Catalog (40)

1 2 3 4 6 8 12 16 24 48 103 206 309 412 618 797 824 1,236 1,594 1,648 2,391 2,472 3,188 4,782 4,944 6,376 9,564 12,752 19,128 38,256 82,091 164,182 246,273 328,364 492,546 656,728 985,092 1,313,456 1,970,184 3,940,368

Collatz Trajectory (216 steps to reach 1)

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

3,940,368 1,970,184 985,092 492,546 246,273 738,820 369,410 184,705 554,116 277,058 138,529 415,588 207,794 103,897 311,692 155,846 77,923 233,770 116,885 350,656 175,328 87,664 43,832 21,916 10,958 5,479 16,438 8,219 24,658 12,329 36,988 18,494 9,247 27,742 13,871 41,614 20,807 62,422 31,211 93,634 46,817 140,452 70,226 35,113 105,340 52,670 26,335 79,006 39,503 118,510 59,255 177,766 88,883 266,650 133,325 399,976 199,988 99,994 49,997 149,992

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #3,940,367 Browse Full Index Next Integer #3,940,369 →