λ
Ratio Atlas
Atlas › Integer Profiles › Node 33,765,174
33,765,174
2 × 34 × 257 × 811
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^4 × 257 × 811
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 76,047,048
Proper Divisor Sum 42,281,874
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #33765167 ← → #33765197

Radix Representation

Decimal 33765174
Binary 10000000110011011100110110 (26 bits)
Octal 0o200633466
Hexadecimal 0x2033736

Divisor Catalog (40)

1 2 3 6 9 18 27 54 81 162 257 514 771 811 1,542 1,622 2,313 2,433 4,626 4,866 6,939 7,299 13,878 14,598 20,817 21,897 41,634 43,794 65,691 131,382 208,427 416,854 625,281 1,250,562 1,875,843 3,751,686 5,627,529 11,255,058 16,882,587 33,765,174

Collatz Trajectory (157 steps to reach 1)

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

33,765,174 16,882,587 50,647,762 25,323,881 75,971,644 37,985,822 18,992,911 56,978,734 28,489,367 85,468,102 42,734,051 128,202,154 64,101,077 192,303,232 96,151,616 48,075,808 24,037,904 12,018,952 6,009,476 3,004,738 1,502,369 4,507,108 2,253,554 1,126,777 3,380,332 1,690,166 845,083 2,535,250 1,267,625 3,802,876 1,901,438 950,719 2,852,158 1,426,079 4,278,238 2,139,119 6,417,358 3,208,679 9,626,038 4,813,019 14,439,058 7,219,529 21,658,588 10,829,294 5,414,647 16,243,942 8,121,971 24,365,914 12,182,957 36,548,872 18,274,436 9,137,218 4,568,609 13,705,828 6,852,914 3,426,457 10,279,372 5,139,686 2,569,843 7,709,530

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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