λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,045,008
4,045,008
24 × 3 × 11 × 47 × 163
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3 × 11 × 47 × 163
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 11,713,536
Proper Divisor Sum 7,668,528
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #4044983 ← → #4045009

Radix Representation

Decimal 4045008
Binary 1111011011100011010000 (22 bits)
Octal 0o17334320
Hexadecimal 0x3DB8D0

Divisor Catalog (60 of 80)

1 2 3 4 6 8 11 12 16 22 24 33 44 47 48 66 88 94 132 141 163 176 188 264 282 326 376 489 517 528 564 652 752 978 1,034 1,128 1,304 1,551 1,793 1,956 2,068 2,256 2,608 3,102 3,586 3,912 4,136 5,379 6,204 7,172 7,661 7,824 8,272 10,758 12,408 14,344 15,322 21,516 22,983 24,816

Collatz Trajectory (48 steps to reach 1)

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

4,045,008 2,022,504 1,011,252 505,626 252,813 758,440 379,220 189,610 94,805 284,416 142,208 71,104 35,552 17,776 8,888 4,444 2,222 1,111 3,334 1,667 5,002 2,501 7,504 3,752 1,876 938 469 1,408 704 352 176 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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