λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,019,680
2,019,680
25 × 5 × 13 × 971
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 5 × 13 × 971
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 5,143,824
Proper Divisor Sum 3,124,144
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #2019679 ← → #2019707

Radix Representation

Decimal 2019680
Binary 111101101000101100000 (21 bits)
Octal 0o7550540
Hexadecimal 0x1ED160

Divisor Catalog (48)

1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 971 1,040 1,942 2,080 3,884 4,855 7,768 9,710 12,623 15,536 19,420 25,246 31,072 38,840 50,492 63,115 77,680 100,984 126,230 155,360 201,968 252,460 403,936 504,920 1,009,840 2,019,680

Collatz Trajectory (109 steps to reach 1)

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

2,019,680 1,009,840 504,920 252,460 126,230 63,115 189,346 94,673 284,020 142,010 71,005 213,016 106,508 53,254 26,627 79,882 39,941 119,824 59,912 29,956 14,978 7,489 22,468 11,234 5,617 16,852 8,426 4,213 12,640 6,320 3,160 1,580 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438 719 2,158

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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