λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,734,110
36,734,110
2 × 5 × 7 × 17 × 30869
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 5 × 7 × 17 × 30869
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 80,015,040
Proper Divisor Sum 43,280,930
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #36734107 ← → #36734123

Radix Representation

Decimal 36734110
Binary 10001100001000010010011110 (26 bits)
Octal 0o214102236
Hexadecimal 0x230849E

Divisor Catalog (32)

1 2 5 7 10 14 17 34 35 70 85 119 170 238 595 1,190 30,869 61,738 154,345 216,083 308,690 432,166 524,773 1,049,546 1,080,415 2,160,830 2,623,865 3,673,411 5,247,730 7,346,822 18,367,055 36,734,110

Collatz Trajectory (258 steps to reach 1)

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

36,734,110 18,367,055 55,101,166 27,550,583 82,651,750 41,325,875 123,977,626 61,988,813 185,966,440 92,983,220 46,491,610 23,245,805 69,737,416 34,868,708 17,434,354 8,717,177 26,151,532 13,075,766 6,537,883 19,613,650 9,806,825 29,420,476 14,710,238 7,355,119 22,065,358 11,032,679 33,098,038 16,549,019 49,647,058 24,823,529 74,470,588 37,235,294 18,617,647 55,852,942 27,926,471 83,779,414 41,889,707 125,669,122 62,834,561 188,503,684 94,251,842 47,125,921 141,377,764 70,688,882 35,344,441 106,033,324 53,016,662 26,508,331 79,524,994 39,762,497 119,287,492 59,643,746 29,821,873 89,465,620 44,732,810 22,366,405 67,099,216 33,549,608 16,774,804 8,387,402

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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