λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,301,935
3,301,935
3 × 5 × 7 × 13 × 41 × 59
Abundant Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 7 × 13 × 41 × 59
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 6,773,760
Proper Divisor Sum 3,471,825
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #3301933 ← → #3301943

Radix Representation

Decimal 3301935
Binary 1100100110001000101111 (22 bits)
Octal 0o14461057
Hexadecimal 0x32622F

Divisor Catalog (60 of 64)

1 3 5 7 13 15 21 35 39 41 59 65 91 105 123 177 195 205 273 287 295 413 455 533 615 767 861 885 1,239 1,365 1,435 1,599 2,065 2,301 2,419 2,665 3,731 3,835 4,305 5,369 6,195 7,257 7,995 11,193 11,505 12,095 16,107 16,933 18,655 26,845 31,447 36,285 50,799 55,965 80,535 84,665 94,341 157,235 220,129 253,995

Collatz Trajectory (208 steps to reach 1)

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

3,301,935 9,905,806 4,952,903 14,858,710 7,429,355 22,288,066 11,144,033 33,432,100 16,716,050 8,358,025 25,074,076 12,537,038 6,268,519 18,805,558 9,402,779 28,208,338 14,104,169 42,312,508 21,156,254 10,578,127 31,734,382 15,867,191 47,601,574 23,800,787 71,402,362 35,701,181 107,103,544 53,551,772 26,775,886 13,387,943 40,163,830 20,081,915 60,245,746 30,122,873 90,368,620 45,184,310 22,592,155 67,776,466 33,888,233 101,664,700 50,832,350 25,416,175 76,248,526 38,124,263 114,372,790 57,186,395 171,559,186 85,779,593 257,338,780 128,669,390 64,334,695 193,004,086 96,502,043 289,506,130 144,753,065 434,259,196 217,129,598 108,564,799 325,694,398 162,847,199

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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