λ
Ratio Atlas
Atlas › Integer Profiles › Node 1,972,000
1,972,000
25 × 53 × 17 × 29
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 5^3 × 17 × 29
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 5,307,120
Proper Divisor Sum 3,335,120
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #1971967 ← → #1972007

Radix Representation

Decimal 1972000
Binary 111100001011100100000 (21 bits)
Octal 0o7413440
Hexadecimal 0x1E1720

Divisor Catalog (60 of 96)

1 2 4 5 8 10 16 17 20 25 29 32 34 40 50 58 68 80 85 100 116 125 136 145 160 170 200 232 250 272 290 340 400 425 464 493 500 544 580 680 725 800 850 928 986 1,000 1,160 1,360 1,450 1,700 1,972 2,000 2,125 2,320 2,465 2,720 2,900 3,400 3,625 3,944

Collatz Trajectory (65 steps to reach 1)

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

1,972,000 986,000 493,000 246,500 123,250 61,625 184,876 92,438 46,219 138,658 69,329 207,988 103,994 51,997 155,992 77,996 38,998 19,499 58,498 29,249 87,748 43,874 21,937 65,812 32,906 16,453 49,360 24,680 12,340 6,170 3,085 9,256 4,628 2,314 1,157 3,472 1,736 868 434 217 652 326 163 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40 20 10

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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