λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,088,146
36,088,146
2 × 33 × 173 × 3863
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^3 × 173 × 3863
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 80,680,320
Proper Divisor Sum 44,592,174
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #36088139 ← → #36088147

Radix Representation

Decimal 36088146
Binary 10001001101010100101010010 (26 bits)
Octal 0o211524522
Hexadecimal 0x226A952

Divisor Catalog (32)

1 2 3 6 9 18 27 54 173 346 519 1,038 1,557 3,114 3,863 4,671 7,726 9,342 11,589 23,178 34,767 69,534 104,301 208,602 668,299 1,336,598 2,004,897 4,009,794 6,014,691 12,029,382 18,044,073 36,088,146

Collatz Trajectory (170 steps to reach 1)

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

36,088,146 18,044,073 54,132,220 27,066,110 13,533,055 40,599,166 20,299,583 60,898,750 30,449,375 91,348,126 45,674,063 137,022,190 68,511,095 205,533,286 102,766,643 308,299,930 154,149,965 462,449,896 231,224,948 115,612,474 57,806,237 173,418,712 86,709,356 43,354,678 21,677,339 65,032,018 32,516,009 97,548,028 48,774,014 24,387,007 73,161,022 36,580,511 109,741,534 54,870,767 164,612,302 82,306,151 246,918,454 123,459,227 370,377,682 185,188,841 555,566,524 277,783,262 138,891,631 416,674,894 208,337,447 625,012,342 312,506,171 937,518,514 468,759,257 1,406,277,772 703,138,886 351,569,443 1,054,708,330 527,354,165 1,582,062,496 791,031,248 395,515,624 197,757,812 98,878,906 49,439,453

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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