λ
Ratio Atlas
Atlas › Integer Profiles › Node 12,371,751
12,371,751
33 × 7 × 67 × 977
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^3 × 7 × 67 × 977
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 21,281,280
Proper Divisor Sum 8,909,529
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #12371747 ← → #12371753

Radix Representation

Decimal 12371751
Binary 101111001100011100100111 (24 bits)
Octal 0o57143447
Hexadecimal 0xBCC727

Divisor Catalog (32)

1 3 7 9 21 27 63 67 189 201 469 603 977 1,407 1,809 2,931 4,221 6,839 8,793 12,663 20,517 26,379 61,551 65,459 184,653 196,377 458,213 589,131 1,374,639 1,767,393 4,123,917 12,371,751

Collatz Trajectory (166 steps to reach 1)

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

12,371,751 37,115,254 18,557,627 55,672,882 27,836,441 83,509,324 41,754,662 20,877,331 62,631,994 31,315,997 93,947,992 46,973,996 23,486,998 11,743,499 35,230,498 17,615,249 52,845,748 26,422,874 13,211,437 39,634,312 19,817,156 9,908,578 4,954,289 14,862,868 7,431,434 3,715,717 11,147,152 5,573,576 2,786,788 1,393,394 696,697 2,090,092 1,045,046 522,523 1,567,570 783,785 2,351,356 1,175,678 587,839 1,763,518 881,759 2,645,278 1,322,639 3,967,918 1,983,959 5,951,878 2,975,939 8,927,818 4,463,909 13,391,728 6,695,864 3,347,932 1,673,966 836,983 2,510,950 1,255,475 3,766,426 1,883,213 5,649,640 2,824,820

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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