λ
Ratio Atlas
Atlas › Integer Profiles › Node 55,464,222
55,464,222
2 × 3 × 112 × 241 × 317
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 11^2 × 241 × 317
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 122,821,776
Proper Divisor Sum 67,357,554
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #55464209 ← → #55464229

Radix Representation

Decimal 55464222
Binary 11010011100101000100011110 (26 bits)
Octal 0o323450436
Hexadecimal 0x34E511E

Divisor Catalog (48)

1 2 3 6 11 22 33 66 121 241 242 317 363 482 634 723 726 951 1,446 1,902 2,651 3,487 5,302 6,974 7,953 10,461 15,906 20,922 29,161 38,357 58,322 76,397 76,714 87,483 115,071 152,794 174,966 229,191 230,142 458,382 840,367 1,680,734 2,521,101 5,042,202 9,244,037 18,488,074 27,732,111 55,464,222

Collatz Trajectory (132 steps to reach 1)

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

55,464,222 27,732,111 83,196,334 41,598,167 124,794,502 62,397,251 187,191,754 93,595,877 280,787,632 140,393,816 70,196,908 35,098,454 17,549,227 52,647,682 26,323,841 78,971,524 39,485,762 19,742,881 59,228,644 29,614,322 14,807,161 44,421,484 22,210,742 11,105,371 33,316,114 16,658,057 49,974,172 24,987,086 12,493,543 37,480,630 18,740,315 56,220,946 28,110,473 84,331,420 42,165,710 21,082,855 63,248,566 31,624,283 94,872,850 47,436,425 142,309,276 71,154,638 35,577,319 106,731,958 53,365,979 160,097,938 80,048,969 240,146,908 120,073,454 60,036,727 180,110,182 90,055,091 270,165,274 135,082,637 405,247,912 202,623,956 101,311,978 50,655,989 151,967,968 75,983,984

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,411,996 Feeder #5,213,165 Feeder #8,297,652 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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