λ
Ratio Atlas
Atlas › Integer Profiles › Node 42,012,135
42,012,135
33 × 5 × 11 × 19 × 1489
Abundant Odd Composite

Prime Factor Structure

Factorization String 3^3 × 5 × 11 × 19 × 1489
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 85,824,000
Proper Divisor Sum 43,811,865
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #42012133 ← → #42012143

Radix Representation

Decimal 42012135
Binary 10100000010000110111100111 (26 bits)
Octal 0o240206747
Hexadecimal 0x2810DE7

Divisor Catalog (60 of 64)

1 3 5 9 11 15 19 27 33 45 55 57 95 99 135 165 171 209 285 297 495 513 627 855 1,045 1,485 1,489 1,881 2,565 3,135 4,467 5,643 7,445 9,405 13,401 16,379 22,335 28,215 28,291 40,203 49,137 67,005 81,895 84,873 141,455 147,411 201,015 245,685 254,619 311,201 424,365 442,233 737,055 763,857 933,603 1,273,095 1,556,005 2,211,165 2,800,809 3,819,285

Collatz Trajectory (178 steps to reach 1)

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

42,012,135 126,036,406 63,018,203 189,054,610 94,527,305 283,581,916 141,790,958 70,895,479 212,686,438 106,343,219 319,029,658 159,514,829 478,544,488 239,272,244 119,636,122 59,818,061 179,454,184 89,727,092 44,863,546 22,431,773 67,295,320 33,647,660 16,823,830 8,411,915 25,235,746 12,617,873 37,853,620 18,926,810 9,463,405 28,390,216 14,195,108 7,097,554 3,548,777 10,646,332 5,323,166 2,661,583 7,984,750 3,992,375 11,977,126 5,988,563 17,965,690 8,982,845 26,948,536 13,474,268 6,737,134 3,368,567 10,105,702 5,052,851 15,158,554 7,579,277 22,737,832 11,368,916 5,684,458 2,842,229 8,526,688 4,263,344 2,131,672 1,065,836 532,918 266,459

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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