λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,390,975
3,390,975
32 × 52 × 7 × 2153
Abundant Odd Composite

Prime Factor Structure

Factorization String 3^2 × 5^2 × 7 × 2153
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 6,944,496
Proper Divisor Sum 3,553,521
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3390971 ← → #3390977

Radix Representation

Decimal 3390975
Binary 1100111011110111111111 (22 bits)
Octal 0o14736777
Hexadecimal 0x33BDFF

Divisor Catalog (36)

1 3 5 7 9 15 21 25 35 45 63 75 105 175 225 315 525 1,575 2,153 6,459 10,765 15,071 19,377 32,295 45,213 53,825 75,355 96,885 135,639 161,475 226,065 376,775 484,425 678,195 1,130,325 3,390,975

Collatz Trajectory (190 steps to reach 1)

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

3,390,975 10,172,926 5,086,463 15,259,390 7,629,695 22,889,086 11,444,543 34,333,630 17,166,815 51,500,446 25,750,223 77,250,670 38,625,335 115,876,006 57,938,003 173,814,010 86,907,005 260,721,016 130,360,508 65,180,254 32,590,127 97,770,382 48,885,191 146,655,574 73,327,787 219,983,362 109,991,681 329,975,044 164,987,522 82,493,761 247,481,284 123,740,642 61,870,321 185,610,964 92,805,482 46,402,741 139,208,224 69,604,112 34,802,056 17,401,028 8,700,514 4,350,257 13,050,772 6,525,386 3,262,693 9,788,080 4,894,040 2,447,020 1,223,510 611,755 1,835,266 917,633 2,752,900 1,376,450 688,225 2,064,676 1,032,338 516,169 1,548,508 774,254

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 #1,448,561 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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