λ
Ratio Atlas
Atlas › Integer Profiles › Node 1,362,480
1,362,480
24 × 3 × 5 × 7 × 811
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 7 × 811
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 4,833,024
Proper Divisor Sum 3,470,544
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #1362479 ← → #1362511

Radix Representation

Decimal 1362480
Binary 101001100101000110000 (21 bits)
Octal 0o5145060
Hexadecimal 0x14CA30

Divisor Catalog (60 of 80)

1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 811 840 1,622 1,680 2,433 3,244 4,055 4,866 5,677 6,488 8,110 9,732 11,354 12,165 12,976 16,220 17,031 19,464 22,708 24,330 28,385 32,440

Collatz Trajectory (62 steps to reach 1)

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

1,362,480 681,240 340,620 170,310 85,155 255,466 127,733 383,200 191,600 95,800 47,900 23,950 11,975 35,926 17,963 53,890 26,945 80,836 40,418 20,209 60,628 30,314 15,157 45,472 22,736 11,368 5,684 2,842 1,421 4,264 2,132 1,066 533 1,600 800 400 200 100 50 25 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8

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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