λ
Ratio Atlas
Atlas › Integer Profiles › Node 12,371,625
12,371,625
32 × 53 × 7 × 1571
Abundant Odd Composite

Prime Factor Structure

Factorization String 3^2 × 5^3 × 7 × 1571
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 25,504,128
Proper Divisor Sum 13,132,503
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #12371561 ← → #12371629

Radix Representation

Decimal 12371625
Binary 101111001100011010101001 (24 bits)
Octal 0o57143251
Hexadecimal 0xBCC6A9

Divisor Catalog (48)

1 3 5 7 9 15 21 25 35 45 63 75 105 125 175 225 315 375 525 875 1,125 1,571 1,575 2,625 4,713 7,855 7,875 10,997 14,139 23,565 32,991 39,275 54,985 70,695 98,973 117,825 164,955 196,375 274,925 353,475 494,865 589,125 824,775 1,374,625 1,767,375 2,474,325 4,123,875 12,371,625

Collatz Trajectory (189 steps to reach 1)

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

12,371,625 37,114,876 18,557,438 9,278,719 27,836,158 13,918,079 41,754,238 20,877,119 62,631,358 31,315,679 93,947,038 46,973,519 140,920,558 70,460,279 211,380,838 105,690,419 317,071,258 158,535,629 475,606,888 237,803,444 118,901,722 59,450,861 178,352,584 89,176,292 44,588,146 22,294,073 66,882,220 33,441,110 16,720,555 50,161,666 25,080,833 75,242,500 37,621,250 18,810,625 56,431,876 28,215,938 14,107,969 42,323,908 21,161,954 10,580,977 31,742,932 15,871,466 7,935,733 23,807,200 11,903,600 5,951,800 2,975,900 1,487,950 743,975 2,231,926 1,115,963 3,347,890 1,673,945 5,021,836 2,510,918 1,255,459 3,766,378 1,883,189 5,649,568 2,824,784

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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