λ
Ratio Atlas
Atlas › Integer Profiles › Node 460,200
460,200
23 × 3 × 52 × 13 × 59
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3 × 5^2 × 13 × 59
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 1,562,400
Proper Divisor Sum 1,102,200
Digit Sum / Digital Root 12 (Root: 3)
Adjacent Primes #460189 ← → #460211

Radix Representation

Decimal 460200
Binary 1110000010110101000 (19 bits)
Octal 0o1602650
Hexadecimal 0x705A8

Divisor Catalog (60 of 96)

1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 59 60 65 75 78 100 104 118 120 130 150 156 177 195 200 236 260 295 300 312 325 354 390 472 520 590 600 650 708 767 780 885 975 1,180 1,300 1,416 1,475 1,534 1,560 1,770

Collatz Trajectory (76 steps to reach 1)

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

460,200 230,100 115,050 57,525 172,576 86,288 43,144 21,572 10,786 5,393 16,180 8,090 4,045 12,136 6,068 3,034 1,517 4,552 2,276 1,138 569 1,708 854 427 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14

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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