λ
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Atlas › Integer Profiles › Node 12,371,793

12,371,793

3 × 7 × 19 × 101 × 307
Deficient Odd Composite

12,371,793 factors as 3 × 7 × 19 × 101 × 307. Its 32 positive divisors give a proper-divisor sum of 7,734,447, so this integer is deficient. The Collatz stopping time is 365 steps.

Prime Factor Structure

Factorization String 3 × 7 × 19 × 101 × 307
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 20,106,240
Proper Divisor Sum 7,734,447
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #12371789 ← → #12371803

Radix Representation

Decimal 12371793
Binary 101111001100011101010001 (24 bits)
Octal 0o57143521
Hexadecimal 0xBCC751

Divisor Catalog (32)

1 3 7 19 21 57 101 133 303 307 399 707 921 1,919 2,121 2,149 5,757 5,833 6,447 13,433 17,499 31,007 40,299 40,831 93,021 122,493 217,049 589,133 651,147 1,767,399 4,123,931 12,371,793

Collatz Trajectory (365 steps to reach 1)

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

12,371,793 37,115,380 18,557,690 9,278,845 27,836,536 13,918,268 6,959,134 3,479,567 10,438,702 5,219,351 15,658,054 7,829,027 23,487,082 11,743,541 35,230,624 17,615,312 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

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