λ
Ratio Atlas
Atlas › Integer Profiles › Node 12,349,689
12,349,689
3 × 11 × 23 × 53 × 307
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 11 × 23 × 53 × 307
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 19,160,064
Proper Divisor Sum 6,810,375
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #12349681 ← → #12349693

Radix Representation

Decimal 12349689
Binary 101111000111000011111001 (24 bits)
Octal 0o57070371
Hexadecimal 0xBC70F9

Divisor Catalog (32)

1 3 11 23 33 53 69 159 253 307 583 759 921 1,219 1,749 3,377 3,657 7,061 10,131 13,409 16,271 21,183 40,227 48,813 77,671 178,981 233,013 374,233 536,943 1,122,699 4,116,563 12,349,689

Collatz Trajectory (166 steps to reach 1)

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

12,349,689 37,049,068 18,524,534 9,262,267 27,786,802 13,893,401 41,680,204 20,840,102 10,420,051 31,260,154 15,630,077 46,890,232 23,445,116 11,722,558 5,861,279 17,583,838 8,791,919 26,375,758 13,187,879 39,563,638 19,781,819 59,345,458 29,672,729 89,018,188 44,509,094 22,254,547 66,763,642 33,381,821 100,145,464 50,072,732 25,036,366 12,518,183 37,554,550 18,777,275 56,331,826 28,165,913 84,497,740 42,248,870 21,124,435 63,373,306 31,686,653 95,059,960 47,529,980 23,764,990 11,882,495 35,647,486 17,823,743 53,471,230 26,735,615 80,206,846 40,103,423 120,310,270 60,155,135 180,465,406 90,232,703 270,698,110 135,349,055 406,047,166 203,023,583 609,070,750

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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