λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,088,182
36,088,182
2 × 32 × 13 × 19 × 8117
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 13 × 19 × 8117
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 88,648,560
Proper Divisor Sum 52,560,378
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #36088147 ← → #36088183

Radix Representation

Decimal 36088182
Binary 10001001101010100101110110 (26 bits)
Octal 0o211524566
Hexadecimal 0x226A976

Divisor Catalog (48)

1 2 3 6 9 13 18 19 26 38 39 57 78 114 117 171 234 247 342 494 741 1,482 2,223 4,446 8,117 16,234 24,351 48,702 73,053 105,521 146,106 154,223 211,042 308,446 316,563 462,669 633,126 925,338 949,689 1,388,007 1,899,378 2,004,899 2,776,014 4,009,798 6,014,697 12,029,394 18,044,091 36,088,182

Collatz Trajectory (214 steps to reach 1)

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

36,088,182 18,044,091 54,132,274 27,066,137 81,198,412 40,599,206 20,299,603 60,898,810 30,449,405 91,348,216 45,674,108 22,837,054 11,418,527 34,255,582 17,127,791 51,383,374 25,691,687 77,075,062 38,537,531 115,612,594 57,806,297 173,418,892 86,709,446 43,354,723 130,064,170 65,032,085 195,096,256 97,548,128 48,774,064 24,387,032 12,193,516 6,096,758 3,048,379 9,145,138 4,572,569 13,717,708 6,858,854 3,429,427 10,288,282 5,144,141 15,432,424 7,716,212 3,858,106 1,929,053 5,787,160 2,893,580 1,446,790 723,395 2,170,186 1,085,093 3,255,280 1,627,640 813,820 406,910 203,455 610,366 305,183 915,550 457,775 1,373,326

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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