λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,133,566
3,133,566
2 × 34 × 23 × 292
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^4 × 23 × 29^2
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 7,588,152
Proper Divisor Sum 4,454,586
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3133547 ← → #3133583

Radix Representation

Decimal 3133566
Binary 1011111101000001111110 (22 bits)
Octal 0o13750176
Hexadecimal 0x2FD07E

Divisor Catalog (60)

1 2 3 6 9 18 23 27 29 46 54 58 69 81 87 138 162 174 207 261 414 522 621 667 783 841 1,242 1,334 1,566 1,682 1,863 2,001 2,349 2,523 3,726 4,002 4,698 5,046 6,003 7,569 12,006 15,138 18,009 19,343 22,707 36,018 38,686 45,414 54,027 58,029 68,121 108,054 116,058 136,242 174,087 348,174 522,261 1,044,522 1,566,783 3,133,566

Collatz Trajectory (107 steps to reach 1)

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

3,133,566 1,566,783 4,700,350 2,350,175 7,050,526 3,525,263 10,575,790 5,287,895 15,863,686 7,931,843 23,795,530 11,897,765 35,693,296 17,846,648 8,923,324 4,461,662 2,230,831 6,692,494 3,346,247 10,038,742 5,019,371 15,058,114 7,529,057 22,587,172 11,293,586 5,646,793 16,940,380 8,470,190 4,235,095 12,705,286 6,352,643 19,057,930 9,528,965 28,586,896 14,293,448 7,146,724 3,573,362 1,786,681 5,360,044 2,680,022 1,340,011 4,020,034 2,010,017 6,030,052 3,015,026 1,507,513 4,522,540 2,261,270 1,130,635 3,391,906 1,695,953 5,087,860 2,543,930 1,271,965 3,815,896 1,907,948 953,974 476,987 1,430,962 715,481

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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