λ
Ratio Atlas
Atlas › Integer Profiles › Node 33,763,598
33,763,598
2 × 112 × 17 × 29 × 283
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 11^2 × 17 × 29 × 283
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 61,190,640
Proper Divisor Sum 27,427,042
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #33763577 ← → #33763601

Radix Representation

Decimal 33763598
Binary 10000000110011000100001110 (26 bits)
Octal 0o200630416
Hexadecimal 0x203310E

Divisor Catalog (48)

1 2 11 17 22 29 34 58 121 187 242 283 319 374 493 566 638 986 2,057 3,113 3,509 4,114 4,811 5,423 6,226 7,018 8,207 9,622 10,846 16,414 34,243 52,921 59,653 68,486 90,277 105,842 119,306 139,519 180,554 279,038 582,131 993,047 1,164,262 1,534,709 1,986,094 3,069,418 16,881,799 33,763,598

Collatz Trajectory (276 steps to reach 1)

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

33,763,598 16,881,799 50,645,398 25,322,699 75,968,098 37,984,049 113,952,148 56,976,074 28,488,037 85,464,112 42,732,056 21,366,028 10,683,014 5,341,507 16,024,522 8,012,261 24,036,784 12,018,392 6,009,196 3,004,598 1,502,299 4,506,898 2,253,449 6,760,348 3,380,174 1,690,087 5,070,262 2,535,131 7,605,394 3,802,697 11,408,092 5,704,046 2,852,023 8,556,070 4,278,035 12,834,106 6,417,053 19,251,160 9,625,580 4,812,790 2,406,395 7,219,186 3,609,593 10,828,780 5,414,390 2,707,195 8,121,586 4,060,793 12,182,380 6,091,190 3,045,595 9,136,786 4,568,393 13,705,180 6,852,590 3,426,295 10,278,886 5,139,443 15,418,330 7,709,165

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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