λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,927,412
36,927,412
22 × 192 × 107 × 239
Deficient Even Composite

Prime Factor Structure

Factorization String 2^2 × 19^2 × 107 × 239
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 69,128,640
Proper Divisor Sum 32,201,228
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #36927403 ← → #36927413

Radix Representation

Decimal 36927412
Binary 10001100110111011110110100 (26 bits)
Octal 0o214673664
Hexadecimal 0x23377B4

Divisor Catalog (36)

1 2 4 19 38 76 107 214 239 361 428 478 722 956 1,444 2,033 4,066 4,541 8,132 9,082 18,164 25,573 38,627 51,146 77,254 86,279 102,292 154,508 172,558 345,116 485,887 971,774 1,943,548 9,231,853 18,463,706 36,927,412

Collatz Trajectory (165 steps to reach 1)

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

36,927,412 18,463,706 9,231,853 27,695,560 13,847,780 6,923,890 3,461,945 10,385,836 5,192,918 2,596,459 7,789,378 3,894,689 11,684,068 5,842,034 2,921,017 8,763,052 4,381,526 2,190,763 6,572,290 3,286,145 9,858,436 4,929,218 2,464,609 7,393,828 3,696,914 1,848,457 5,545,372 2,772,686 1,386,343 4,159,030 2,079,515 6,238,546 3,119,273 9,357,820 4,678,910 2,339,455 7,018,366 3,509,183 10,527,550 5,263,775 15,791,326 7,895,663 23,686,990 11,843,495 35,530,486 17,765,243 53,295,730 26,647,865 79,943,596 39,971,798 19,985,899 59,957,698 29,978,849 89,936,548 44,968,274 22,484,137 67,452,412 33,726,206 16,863,103 50,589,310

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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