λ
Ratio Atlas
Atlas › Integer Profiles › Node 12,371,784

12,371,784

23 × 3 × 17 × 30323
Abundant Even Composite

12,371,784 factors as 2^3 × 3 × 17 × 30323. Its 32 positive divisors give a proper-divisor sum of 20,378,136, so this integer is abundant. The Collatz stopping time is 365 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 17 × 30323
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 32,749,920
Proper Divisor Sum 20,378,136
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #12371761 ← → #12371789

Radix Representation

Decimal 12371784
Binary 101111001100011101001000 (24 bits)
Octal 0o57143510
Hexadecimal 0xBCC748

Divisor Catalog (32)

1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 30,323 60,646 90,969 121,292 181,938 242,584 363,876 515,491 727,752 1,030,982 1,546,473 2,061,964 3,092,946 4,123,928 6,185,892 12,371,784

Collatz Trajectory (365 steps to reach 1)

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

12,371,784 6,185,892 3,092,946 1,546,473 4,639,420 2,319,710 1,159,855 3,479,566 1,739,783 5,219,350 2,609,675 7,829,026 3,914,513 11,743,540 5,871,770 2,935,885 8,807,656 4,403,828 2,201,914 1,100,957 3,302,872 1,651,436 825,718 412,859 1,238,578 619,289 1,857,868 928,934 464,467 1,393,402 696,701 2,090,104 1,045,052 522,526 261,263 783,790 391,895 1,175,686 587,843 1,763,530 881,765 2,645,296 1,322,648 661,324 330,662 165,331 495,994 247,997 743,992 371,996 185,998 92,999 278,998 139,499 418,498 209,249 627,748 313,874 156,937 470,812

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #12,371,783 Browse Full Index Next Integer #12,371,785 →