λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,930,264
36,930,264
23 × 3 × 7 × 219823
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3 × 7 × 219823
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 105,515,520
Proper Divisor Sum 68,585,256
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #36930259 ← → #36930277

Radix Representation

Decimal 36930264
Binary 10001100111000001011011000 (26 bits)
Octal 0o214701330
Hexadecimal 0x23382D8

Divisor Catalog (32)

1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 219,823 439,646 659,469 879,292 1,318,938 1,538,761 1,758,584 2,637,876 3,077,522 4,616,283 5,275,752 6,155,044 9,232,566 12,310,088 18,465,132 36,930,264

Collatz Trajectory (165 steps to reach 1)

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

36,930,264 18,465,132 9,232,566 4,616,283 13,848,850 6,924,425 20,773,276 10,386,638 5,193,319 15,579,958 7,789,979 23,369,938 11,684,969 35,054,908 17,527,454 8,763,727 26,291,182 13,145,591 39,436,774 19,718,387 59,155,162 29,577,581 88,732,744 44,366,372 22,183,186 11,091,593 33,274,780 16,637,390 8,318,695 24,956,086 12,478,043 37,434,130 18,717,065 56,151,196 28,075,598 14,037,799 42,113,398 21,056,699 63,170,098 31,585,049 94,755,148 47,377,574 23,688,787 71,066,362 35,533,181 106,599,544 53,299,772 26,649,886 13,324,943 39,974,830 19,987,415 59,962,246 29,981,123 89,943,370 44,971,685 134,915,056 67,457,528 33,728,764 16,864,382 8,432,191

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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