λ
Ratio Atlas
Atlas › Integer Profiles › Node 35,530,446
35,530,446
2 × 3 × 7 × 23 × 36781
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 7 × 23 × 36781
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 84,745,728
Proper Divisor Sum 49,215,282
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #35530441 ← → #35530447

Radix Representation

Decimal 35530446
Binary 10000111100010011011001110 (26 bits)
Octal 0o207423316
Hexadecimal 0x21E26CE

Divisor Catalog (32)

1 2 3 6 7 14 21 23 42 46 69 138 161 322 483 966 36,781 73,562 110,343 220,686 257,467 514,934 772,401 845,963 1,544,802 1,691,926 2,537,889 5,075,778 5,921,741 11,843,482 17,765,223 35,530,446

Collatz Trajectory (245 steps to reach 1)

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

35,530,446 17,765,223 53,295,670 26,647,835 79,943,506 39,971,753 119,915,260 59,957,630 29,978,815 89,936,446 44,968,223 134,904,670 67,452,335 202,357,006 101,178,503 303,535,510 151,767,755 455,303,266 227,651,633 682,954,900 341,477,450 170,738,725 512,216,176 256,108,088 128,054,044 64,027,022 32,013,511 96,040,534 48,020,267 144,060,802 72,030,401 216,091,204 108,045,602 54,022,801 162,068,404 81,034,202 40,517,101 121,551,304 60,775,652 30,387,826 15,193,913 45,581,740 22,790,870 11,395,435 34,186,306 17,093,153 51,279,460 25,639,730 12,819,865 38,459,596 19,229,798 9,614,899 28,844,698 14,422,349 43,267,048 21,633,524 10,816,762 5,408,381 16,225,144 8,112,572

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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