λ
Ratio Atlas
Atlas › Integer Profiles › Node 33,304,572
33,304,572
22 × 32 × 7 × 283 × 467
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^2 × 7 × 283 × 467
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 96,759,936
Proper Divisor Sum 63,455,364
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #33304559 ← → #33304577

Radix Representation

Decimal 33304572
Binary 1111111000010111111111100 (25 bits)
Octal 0o177027774
Hexadecimal 0x1FC2FFC

Divisor Catalog (60 of 72)

1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 283 467 566 849 934 1,132 1,401 1,698 1,868 1,981 2,547 2,802 3,269 3,396 3,962 4,203 5,094 5,604 5,943 6,538 7,924 8,406 9,807 10,188 11,886 13,076 16,812 17,829 19,614 23,772 29,421 35,658 39,228 58,842 71,316 117,684 132,161 264,322 396,483 528,644 792,966 925,127

Collatz Trajectory (320 steps to reach 1)

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

33,304,572 16,652,286 8,326,143 24,978,430 12,489,215 37,467,646 18,733,823 56,201,470 28,100,735 84,302,206 42,151,103 126,453,310 63,226,655 189,679,966 94,839,983 284,519,950 142,259,975 426,779,926 213,389,963 640,169,890 320,084,945 960,254,836 480,127,418 240,063,709 720,191,128 360,095,564 180,047,782 90,023,891 270,071,674 135,035,837 405,107,512 202,553,756 101,276,878 50,638,439 151,915,318 75,957,659 227,872,978 113,936,489 341,809,468 170,904,734 85,452,367 256,357,102 128,178,551 384,535,654 192,267,827 576,803,482 288,401,741 865,205,224 432,602,612 216,301,306 108,150,653 324,451,960 162,225,980 81,112,990 40,556,495 121,669,486 60,834,743 182,504,230 91,252,115 273,756,346

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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