λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,938,802
36,938,802
2 × 3 × 37 × 227 × 733
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 37 × 227 × 733
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 76,312,512
Proper Divisor Sum 39,373,710
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #36938801 ← → #36938809

Radix Representation

Decimal 36938802
Binary 10001100111010010000110010 (26 bits)
Octal 0o214722062
Hexadecimal 0x233A432

Divisor Catalog (32)

1 2 3 6 37 74 111 222 227 454 681 733 1,362 1,466 2,199 4,398 8,399 16,798 25,197 27,121 50,394 54,242 81,363 162,726 166,391 332,782 499,173 998,346 6,156,467 12,312,934 18,469,401 36,938,802

Collatz Trajectory (240 steps to reach 1)

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

36,938,802 18,469,401 55,408,204 27,704,102 13,852,051 41,556,154 20,778,077 62,334,232 31,167,116 15,583,558 7,791,779 23,375,338 11,687,669 35,063,008 17,531,504 8,765,752 4,382,876 2,191,438 1,095,719 3,287,158 1,643,579 4,930,738 2,465,369 7,396,108 3,698,054 1,849,027 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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