λ
Ratio Atlas
Atlas › Integer Profiles › Node 12,845,014
12,845,014
2 × 7 × 132 × 61 × 89
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 7 × 13^2 × 61 × 89
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 24,507,360
Proper Divisor Sum 11,662,346
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #12844987 ← → #12845033

Radix Representation

Decimal 12845014
Binary 110000111111111111010110 (24 bits)
Octal 0o60777726
Hexadecimal 0xC3FFD6

Divisor Catalog (48)

1 2 7 13 14 26 61 89 91 122 169 178 182 338 427 623 793 854 1,157 1,183 1,246 1,586 2,314 2,366 5,429 5,551 8,099 10,309 10,858 11,102 15,041 16,198 20,618 30,082 38,003 70,577 72,163 76,006 105,287 141,154 144,326 210,574 494,039 917,501 988,078 1,835,002 6,422,507 12,845,014

Collatz Trajectory (241 steps to reach 1)

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

12,845,014 6,422,507 19,267,522 9,633,761 28,901,284 14,450,642 7,225,321 21,675,964 10,837,982 5,418,991 16,256,974 8,128,487 24,385,462 12,192,731 36,578,194 18,289,097 54,867,292 27,433,646 13,716,823 41,150,470 20,575,235 61,725,706 30,862,853 92,588,560 46,294,280 23,147,140 11,573,570 5,786,785 17,360,356 8,680,178 4,340,089 13,020,268 6,510,134 3,255,067 9,765,202 4,882,601 14,647,804 7,323,902 3,661,951 10,985,854 5,492,927 16,478,782 8,239,391 24,718,174 12,359,087 37,077,262 18,538,631 55,615,894 27,807,947 83,423,842 41,711,921 125,135,764 62,567,882 31,283,941 93,851,824 46,925,912 23,462,956 11,731,478 5,865,739 17,597,218

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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