λ
Ratio Atlas
Atlas › Integer Profiles › Node 34,242,585
34,242,585
3 × 5 × 13 × 41 × 4283
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 13 × 41 × 4283
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 60,455,808
Proper Divisor Sum 26,213,223
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #34242583 ← → #34242587

Radix Representation

Decimal 34242585
Binary 10000010101000000000011001 (26 bits)
Octal 0o202500031
Hexadecimal 0x20A8019

Divisor Catalog (32)

1 3 5 13 15 39 41 65 123 195 205 533 615 1,599 2,665 4,283 7,995 12,849 21,415 55,679 64,245 167,037 175,603 278,395 526,809 835,185 878,015 2,282,839 2,634,045 6,848,517 11,414,195 34,242,585

Collatz Trajectory (214 steps to reach 1)

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

34,242,585 102,727,756 51,363,878 25,681,939 77,045,818 38,522,909 115,568,728 57,784,364 28,892,182 14,446,091 43,338,274 21,669,137 65,007,412 32,503,706 16,251,853 48,755,560 24,377,780 12,188,890 6,094,445 18,283,336 9,141,668 4,570,834 2,285,417 6,856,252 3,428,126 1,714,063 5,142,190 2,571,095 7,713,286 3,856,643 11,569,930 5,784,965 17,354,896 8,677,448 4,338,724 2,169,362 1,084,681 3,254,044 1,627,022 813,511 2,440,534 1,220,267 3,660,802 1,830,401 5,491,204 2,745,602 1,372,801 4,118,404 2,059,202 1,029,601 3,088,804 1,544,402 772,201 2,316,604 1,158,302 579,151 1,737,454 868,727 2,606,182 1,303,091

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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