λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,222,617
4,222,617
3 × 7 × 192 × 557
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 7 × 19^2 × 557
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,803,136
Proper Divisor Sum 2,580,519
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #4222601 ← → #4222619

Radix Representation

Decimal 4222617
Binary 10000000110111010011001 (23 bits)
Octal 0o20067231
Hexadecimal 0x406E99

Divisor Catalog (24)

1 3 7 19 21 57 133 361 399 557 1,083 1,671 2,527 3,899 7,581 10,583 11,697 31,749 74,081 201,077 222,243 603,231 1,407,539 4,222,617

Collatz Trajectory (180 steps to reach 1)

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

4,222,617 12,667,852 6,333,926 3,166,963 9,500,890 4,750,445 14,251,336 7,125,668 3,562,834 1,781,417 5,344,252 2,672,126 1,336,063 4,008,190 2,004,095 6,012,286 3,006,143 9,018,430 4,509,215 13,527,646 6,763,823 20,291,470 10,145,735 30,437,206 15,218,603 45,655,810 22,827,905 68,483,716 34,241,858 17,120,929 51,362,788 25,681,394 12,840,697 38,522,092 19,261,046 9,630,523 28,891,570 14,445,785 43,337,356 21,668,678 10,834,339 32,503,018 16,251,509 48,754,528 24,377,264 12,188,632 6,094,316 3,047,158 1,523,579 4,570,738 2,285,369 6,856,108 3,428,054 1,714,027 5,142,082 2,571,041 7,713,124 3,856,562 1,928,281 5,784,844

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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