λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,938,824
36,938,824
23 × 13 × 172 × 1229
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 13 × 17^2 × 1229
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 79,298,100
Proper Divisor Sum 42,359,276
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #36938821 ← → #36938843

Radix Representation

Decimal 36938824
Binary 10001100111010010001001000 (26 bits)
Octal 0o214722110
Hexadecimal 0x233A448

Divisor Catalog (48)

1 2 4 8 13 17 26 34 52 68 104 136 221 289 442 578 884 1,156 1,229 1,768 2,312 2,458 3,757 4,916 7,514 9,832 15,028 15,977 20,893 30,056 31,954 41,786 63,908 83,572 127,816 167,144 271,609 355,181 543,218 710,362 1,086,436 1,420,724 2,172,872 2,841,448 4,617,353 9,234,706 18,469,412 36,938,824

Collatz Trajectory (183 steps to reach 1)

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

36,938,824 18,469,412 9,234,706 4,617,353 13,852,060 6,926,030 3,463,015 10,389,046 5,194,523 15,583,570 7,791,785 23,375,356 11,687,678 5,843,839 17,531,518 8,765,759 26,297,278 13,148,639 39,445,918 19,722,959 59,168,878 29,584,439 88,753,318 44,376,659 133,129,978 66,564,989 199,694,968 99,847,484 49,923,742 24,961,871 74,885,614 37,442,807 112,328,422 56,164,211 168,492,634 84,246,317 252,738,952 126,369,476 63,184,738 31,592,369 94,777,108 47,388,554 23,694,277 71,082,832 35,541,416 17,770,708 8,885,354 4,442,677 13,328,032 6,664,016 3,332,008 1,666,004 833,002 416,501 1,249,504 624,752 312,376 156,188 78,094 39,047

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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