λ
Ratio Atlas
Atlas › Integer Profiles › Node 33,394,515
33,394,515
3 × 5 × 7 × 11 × 29 × 997
Abundant Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 7 × 11 × 29 × 997
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 68,981,760
Proper Divisor Sum 35,587,245
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #33394463 ← → #33394519

Radix Representation

Decimal 33394515
Binary 1111111011000111101010011 (25 bits)
Octal 0o177307523
Hexadecimal 0x1FD8F53

Divisor Catalog (60 of 64)

1 3 5 7 11 15 21 29 33 35 55 77 87 105 145 165 203 231 319 385 435 609 957 997 1,015 1,155 1,595 2,233 2,991 3,045 4,785 4,985 6,699 6,979 10,967 11,165 14,955 20,937 28,913 32,901 33,495 34,895 54,835 76,769 86,739 104,685 144,565 164,505 202,391 230,307 318,043 383,845 433,695 607,173 954,129 1,011,955 1,151,535 1,590,215 2,226,301 3,035,865

Collatz Trajectory (214 steps to reach 1)

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

33,394,515 100,183,546 50,091,773 150,275,320 75,137,660 37,568,830 18,784,415 56,353,246 28,176,623 84,529,870 42,264,935 126,794,806 63,397,403 190,192,210 95,096,105 285,288,316 142,644,158 71,322,079 213,966,238 106,983,119 320,949,358 160,474,679 481,424,038 240,712,019 722,136,058 361,068,029 1,083,204,088 541,602,044 270,801,022 135,400,511 406,201,534 203,100,767 609,302,302 304,651,151 913,953,454 456,976,727 1,370,930,182 685,465,091 2,056,395,274 1,028,197,637 3,084,592,912 1,542,296,456 771,148,228 385,574,114 192,787,057 578,361,172 289,180,586 144,590,293 433,770,880 216,885,440 108,442,720 54,221,360 27,110,680 13,555,340 6,777,670 3,388,835 10,166,506 5,083,253 15,249,760 7,624,880

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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