λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,746,546
4,746,546
2 × 33 × 7 × 29 × 433
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^3 × 7 × 29 × 433
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 12,499,200
Proper Divisor Sum 7,752,654
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #4746499 ← → #4746551

Radix Representation

Decimal 4746546
Binary 10010000110110100110010 (23 bits)
Octal 0o22066462
Hexadecimal 0x486D32

Divisor Catalog (60 of 64)

1 2 3 6 7 9 14 18 21 27 29 42 54 58 63 87 126 174 189 203 261 378 406 433 522 609 783 866 1,218 1,299 1,566 1,827 2,598 3,031 3,654 3,897 5,481 6,062 7,794 9,093 10,962 11,691 12,557 18,186 23,382 25,114 27,279 37,671 54,558 75,342 81,837 87,899 113,013 163,674 175,798 226,026 263,697 339,039 527,394 678,078

Collatz Trajectory (237 steps to reach 1)

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

4,746,546 2,373,273 7,119,820 3,559,910 1,779,955 5,339,866 2,669,933 8,009,800 4,004,900 2,002,450 1,001,225 3,003,676 1,501,838 750,919 2,252,758 1,126,379 3,379,138 1,689,569 5,068,708 2,534,354 1,267,177 3,801,532 1,900,766 950,383 2,851,150 1,425,575 4,276,726 2,138,363 6,415,090 3,207,545 9,622,636 4,811,318 2,405,659 7,216,978 3,608,489 10,825,468 5,412,734 2,706,367 8,119,102 4,059,551 12,178,654 6,089,327 18,267,982 9,133,991 27,401,974 13,700,987 41,102,962 20,551,481 61,654,444 30,827,222 15,413,611 46,240,834 23,120,417 69,361,252 34,680,626 17,340,313 52,020,940 26,010,470 13,005,235 39,015,706

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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