λ
Ratio Atlas
Atlas › Integer Profiles › Node 35,309,565
35,309,565
32 × 5 × 199 × 3943
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 5 × 199 × 3943
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 61,526,400
Proper Divisor Sum 26,216,835
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #35309563 ← → #35309567

Radix Representation

Decimal 35309565
Binary 10000110101100011111111101 (26 bits)
Octal 0o206543775
Hexadecimal 0x21AC7FD

Divisor Catalog (24)

1 3 5 9 15 45 199 597 995 1,791 2,985 3,943 8,955 11,829 19,715 35,487 59,145 177,435 784,657 2,353,971 3,923,285 7,061,913 11,769,855 35,309,565

Collatz Trajectory (183 steps to reach 1)

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

35,309,565 105,928,696 52,964,348 26,482,174 13,241,087 39,723,262 19,861,631 59,584,894 29,792,447 89,377,342 44,688,671 134,066,014 67,033,007 201,099,022 100,549,511 301,648,534 150,824,267 452,472,802 226,236,401 678,709,204 339,354,602 169,677,301 509,031,904 254,515,952 127,257,976 63,628,988 31,814,494 15,907,247 47,721,742 23,860,871 71,582,614 35,791,307 107,373,922 53,686,961 161,060,884 80,530,442 40,265,221 120,795,664 60,397,832 30,198,916 15,099,458 7,549,729 22,649,188 11,324,594 5,662,297 16,986,892 8,493,446 4,246,723 12,740,170 6,370,085 19,110,256 9,555,128 4,777,564 2,388,782 1,194,391 3,583,174 1,791,587 5,374,762 2,687,381 8,062,144

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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