λ
Ratio Atlas
Atlas › Integer Profiles › Node 1,284,010
1,284,010
2 × 5 × 7 × 13 × 17 × 83
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 5 × 7 × 13 × 17 × 83
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 3,048,192
Proper Divisor Sum 1,764,182
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #1284007 ← → #1284037

Radix Representation

Decimal 1284010
Binary 100111001011110101010 (21 bits)
Octal 0o4713652
Hexadecimal 0x1397AA

Divisor Catalog (60 of 64)

1 2 5 7 10 13 14 17 26 34 35 65 70 83 85 91 119 130 166 170 182 221 238 415 442 455 581 595 830 910 1,079 1,105 1,162 1,190 1,411 1,547 2,158 2,210 2,822 2,905 3,094 5,395 5,810 7,055 7,553 7,735 9,877 10,790 14,110 15,106 15,470 18,343 19,754 36,686 37,765 49,385 75,530 91,715 98,770 128,401

Collatz Trajectory (54 steps to reach 1)

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

1,284,010 642,005 1,926,016 963,008 481,504 240,752 120,376 60,188 30,094 15,047 45,142 22,571 67,714 33,857 101,572 50,786 25,393 76,180 38,090 19,045 57,136 28,568 14,284 7,142 3,571 10,714 5,357 16,072 8,036 4,018 2,009 6,028 3,014 1,507 4,522 2,261 6,784 3,392 1,696 848 424 212 106 53 160 80 40 20 10 5 16 8 4 2 1

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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