λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,938,808
36,938,808
23 × 33 × 29 × 5897
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3^3 × 29 × 5897
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 106,164,000
Proper Divisor Sum 69,225,192
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #36938801 ← → #36938809

Radix Representation

Decimal 36938808
Binary 10001100111010010000111000 (26 bits)
Octal 0o214722070
Hexadecimal 0x233A438

Divisor Catalog (60 of 64)

1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 87 108 116 174 216 232 261 348 522 696 783 1,044 1,566 2,088 3,132 5,897 6,264 11,794 17,691 23,588 35,382 47,176 53,073 70,764 106,146 141,528 159,219 171,013 212,292 318,438 342,026 424,584 513,039 636,876 684,052 1,026,078 1,273,752 1,368,104 1,539,117 2,052,156 3,078,234 4,104,312 4,617,351 6,156,468

Collatz Trajectory (240 steps to reach 1)

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

36,938,808 18,469,404 9,234,702 4,617,351 13,852,054 6,926,027 20,778,082 10,389,041 31,167,124 15,583,562 7,791,781 23,375,344 11,687,672 5,843,836 2,921,918 1,460,959 4,382,878 2,191,439 6,574,318 3,287,159 9,861,478 4,930,739 14,792,218 7,396,109 22,188,328 11,094,164 5,547,082 2,773,541 8,320,624 4,160,312 2,080,156 1,040,078 520,039 1,560,118 780,059 2,340,178 1,170,089 3,510,268 1,755,134 877,567 2,632,702 1,316,351 3,949,054 1,974,527 5,923,582 2,961,791 8,885,374 4,442,687 13,328,062 6,664,031 19,992,094 9,996,047 29,988,142 14,994,071 44,982,214 22,491,107 67,473,322 33,736,661 101,209,984 50,604,992

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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