λ
Ratio Atlas
Atlas › Integer Profiles › Node 428,010
428,010
2 × 3 × 5 × 11 × 1297
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 5 × 11 × 1297
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 1,121,472
Proper Divisor Sum 693,462
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #428003 ← → #428023

Radix Representation

Decimal 428010
Binary 1101000011111101010 (19 bits)
Octal 0o1503752
Hexadecimal 0x687EA

Divisor Catalog (32)

1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 1,297 2,594 3,891 6,485 7,782 12,970 14,267 19,455 28,534 38,910 42,801 71,335 85,602 142,670 214,005 428,010

Collatz Trajectory (55 steps to reach 1)

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

428,010 214,005 642,016 321,008 160,504 80,252 40,126 20,063 60,190 30,095 90,286 45,143 135,430 67,715 203,146 101,573 304,720 152,360 76,180 38,090 19,045 57,136 28,568 14,284 7,142 3,571 10,714 5,357 16,072 8,036 4,018 2,009 6,028 3,014 1,507 4,522 2,261 6,784 3,392 1,696 848 424 212 106 53 160 80 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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