λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,935,385
3,935,385
35 × 5 × 41 × 79
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^5 × 5 × 41 × 79
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 7,338,240
Proper Divisor Sum 3,402,855
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3935383 ← → #3935389

Radix Representation

Decimal 3935385
Binary 1111000000110010011001 (22 bits)
Octal 0o17006231
Hexadecimal 0x3C0C99

Divisor Catalog (48)

1 3 5 9 15 27 41 45 79 81 123 135 205 237 243 369 395 405 615 711 1,107 1,185 1,215 1,845 2,133 3,239 3,321 3,555 5,535 6,399 9,717 9,963 10,665 16,195 16,605 19,197 29,151 31,995 48,585 49,815 87,453 95,985 145,755 262,359 437,265 787,077 1,311,795 3,935,385

Collatz Trajectory (322 steps to reach 1)

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

3,935,385 11,806,156 5,903,078 2,951,539 8,854,618 4,427,309 13,281,928 6,640,964 3,320,482 1,660,241 4,980,724 2,490,362 1,245,181 3,735,544 1,867,772 933,886 466,943 1,400,830 700,415 2,101,246 1,050,623 3,151,870 1,575,935 4,727,806 2,363,903 7,091,710 3,545,855 10,637,566 5,318,783 15,956,350 7,978,175 23,934,526 11,967,263 35,901,790 17,950,895 53,852,686 26,926,343 80,779,030 40,389,515 121,168,546 60,584,273 181,752,820 90,876,410 45,438,205 136,314,616 68,157,308 34,078,654 17,039,327 51,117,982 25,558,991 76,676,974 38,338,487 115,015,462 57,507,731 172,523,194 86,261,597 258,784,792 129,392,396 64,696,198 32,348,099

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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