λ
Ratio Atlas
Atlas › Integer Profiles › Node 33,570,360
33,570,360
23 × 32 × 5 × 93251
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3^2 × 5 × 93251
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 109,104,840
Proper Divisor Sum 75,534,480
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #33570347 ← → #33570367

Radix Representation

Decimal 33570360
Binary 10000000000011111000111000 (26 bits)
Octal 0o200037070
Hexadecimal 0x2003E38

Divisor Catalog (48)

1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 93,251 186,502 279,753 373,004 466,255 559,506 746,008 839,259 932,510 1,119,012 1,398,765 1,678,518 1,865,020 2,238,024 2,797,530 3,357,036 3,730,040 4,196,295 5,595,060 6,714,072 8,392,590 11,190,120 16,785,180 33,570,360

Collatz Trajectory (108 steps to reach 1)

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

33,570,360 16,785,180 8,392,590 4,196,295 12,588,886 6,294,443 18,883,330 9,441,665 28,324,996 14,162,498 7,081,249 21,243,748 10,621,874 5,310,937 15,932,812 7,966,406 3,983,203 11,949,610 5,974,805 17,924,416 8,962,208 4,481,104 2,240,552 1,120,276 560,138 280,069 840,208 420,104 210,052 105,026 52,513 157,540 78,770 39,385 118,156 59,078 29,539 88,618 44,309 132,928 66,464 33,232 16,616 8,308 4,154 2,077 6,232 3,116 1,558 779 2,338 1,169 3,508 1,754 877 2,632 1,316 658 329 988

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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