λ
Ratio Atlas
Atlas › Integer Profiles › Node 33,744,186
33,744,186
2 × 32 × 7 × 267811
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 267811
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 83,557,344
Proper Divisor Sum 49,813,158
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #33744149 ← → #33744203

Radix Representation

Decimal 33744186
Binary 10000000101110010100111010 (26 bits)
Octal 0o200562472
Hexadecimal 0x202E53A

Divisor Catalog (24)

1 2 3 6 7 9 14 18 21 42 63 126 267,811 535,622 803,433 1,606,866 1,874,677 2,410,299 3,749,354 4,820,598 5,624,031 11,248,062 16,872,093 33,744,186

Collatz Trajectory (183 steps to reach 1)

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

33,744,186 16,872,093 50,616,280 25,308,140 12,654,070 6,327,035 18,981,106 9,490,553 28,471,660 14,235,830 7,117,915 21,353,746 10,676,873 32,030,620 16,015,310 8,007,655 24,022,966 12,011,483 36,034,450 18,017,225 54,051,676 27,025,838 13,512,919 40,538,758 20,269,379 60,808,138 30,404,069 91,212,208 45,606,104 22,803,052 11,401,526 5,700,763 17,102,290 8,551,145 25,653,436 12,826,718 6,413,359 19,240,078 9,620,039 28,860,118 14,430,059 43,290,178 21,645,089 64,935,268 32,467,634 16,233,817 48,701,452 24,350,726 12,175,363 36,526,090 18,263,045 54,789,136 27,394,568 13,697,284 6,848,642 3,424,321 10,272,964 5,136,482 2,568,241 7,704,724

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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