λ
Ratio Atlas
Atlas › Integer Profiles › Node 33,744,204
33,744,204
22 × 32 × 13 × 72103
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^2 × 13 × 72103
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 91,860,496
Proper Divisor Sum 58,116,292
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #33744203 ← → #33744211

Radix Representation

Decimal 33744204
Binary 10000000101110010101001100 (26 bits)
Octal 0o200562514
Hexadecimal 0x202E54C

Divisor Catalog (36)

1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 72,103 144,206 216,309 288,412 432,618 648,927 865,236 937,339 1,297,854 1,874,678 2,595,708 2,812,017 3,749,356 5,624,034 8,436,051 11,248,068 16,872,102 33,744,204

Collatz Trajectory (113 steps to reach 1)

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

33,744,204 16,872,102 8,436,051 25,308,154 12,654,077 37,962,232 18,981,116 9,490,558 4,745,279 14,235,838 7,117,919 21,353,758 10,676,879 32,030,638 16,015,319 48,045,958 24,022,979 72,068,938 36,034,469 108,103,408 54,051,704 27,025,852 13,512,926 6,756,463 20,269,390 10,134,695 30,404,086 15,202,043 45,606,130 22,803,065 68,409,196 34,204,598 17,102,299 51,306,898 25,653,449 76,960,348 38,480,174 19,240,087 57,720,262 28,860,131 86,580,394 43,290,197 129,870,592 64,935,296 32,467,648 16,233,824 8,116,912 4,058,456 2,029,228 1,014,614 507,307 1,521,922 760,961 2,282,884 1,141,442 570,721 1,712,164 856,082 428,041 1,284,124

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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