λ
Ratio Atlas
Atlas › Integer Profiles › Node 46,209,670
46,209,670
2 × 5 × 132 × 37 × 739
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 5 × 13^2 × 37 × 739
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 92,627,280
Proper Divisor Sum 46,417,610
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #46209661 ← → #46209671

Radix Representation

Decimal 46209670
Binary 10110000010001101010000110 (26 bits)
Octal 0o260215206
Hexadecimal 0x2C11A86

Divisor Catalog (48)

1 2 5 10 13 26 37 65 74 130 169 185 338 370 481 739 845 962 1,478 1,690 2,405 3,695 4,810 6,253 7,390 9,607 12,506 19,214 27,343 31,265 48,035 54,686 62,530 96,070 124,891 136,715 249,782 273,430 355,459 624,455 710,918 1,248,910 1,777,295 3,554,590 4,620,967 9,241,934 23,104,835 46,209,670

Collatz Trajectory (248 steps to reach 1)

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

46,209,670 23,104,835 69,314,506 34,657,253 103,971,760 51,985,880 25,992,940 12,996,470 6,498,235 19,494,706 9,747,353 29,242,060 14,621,030 7,310,515 21,931,546 10,965,773 32,897,320 16,448,660 8,224,330 4,112,165 12,336,496 6,168,248 3,084,124 1,542,062 771,031 2,313,094 1,156,547 3,469,642 1,734,821 5,204,464 2,602,232 1,301,116 650,558 325,279 975,838 487,919 1,463,758 731,879 2,195,638 1,097,819 3,293,458 1,646,729 4,940,188 2,470,094 1,235,047 3,705,142 1,852,571 5,557,714 2,778,857 8,336,572 4,168,286 2,084,143 6,252,430 3,126,215 9,378,646 4,689,323 14,067,970 7,033,985 21,101,956 10,550,978

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,449,649 Feeder #6,177,699 Feeder #4,494,486 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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