λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,928,095
3,928,095
35 × 5 × 53 × 61
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^5 × 5 × 53 × 61
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 7,312,032
Proper Divisor Sum 3,383,937
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3928091 ← → #3928097

Radix Representation

Decimal 3928095
Binary 1110111111000000011111 (22 bits)
Octal 0o16770037
Hexadecimal 0x3BF01F

Divisor Catalog (48)

1 3 5 9 15 27 45 53 61 81 135 159 183 243 265 305 405 477 549 795 915 1,215 1,431 1,647 2,385 2,745 3,233 4,293 4,941 7,155 8,235 9,699 12,879 14,823 16,165 21,465 24,705 29,097 48,495 64,395 74,115 87,291 145,485 261,873 436,455 785,619 1,309,365 3,928,095

Collatz Trajectory (198 steps to reach 1)

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

3,928,095 11,784,286 5,892,143 17,676,430 8,838,215 26,514,646 13,257,323 39,771,970 19,885,985 59,657,956 29,828,978 14,914,489 44,743,468 22,371,734 11,185,867 33,557,602 16,778,801 50,336,404 25,168,202 12,584,101 37,752,304 18,876,152 9,438,076 4,719,038 2,359,519 7,078,558 3,539,279 10,617,838 5,308,919 15,926,758 7,963,379 23,890,138 11,945,069 35,835,208 17,917,604 8,958,802 4,479,401 13,438,204 6,719,102 3,359,551 10,078,654 5,039,327 15,117,982 7,558,991 22,676,974 11,338,487 34,015,462 17,007,731 51,023,194 25,511,597 76,534,792 38,267,396 19,133,698 9,566,849 28,700,548 14,350,274 7,175,137 21,525,412 10,762,706 5,381,353

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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