λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,198,070
9,198,070
2 × 5 × 7 × 101 × 1301
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 5 × 7 × 101 × 1301
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 19,123,776
Proper Divisor Sum 9,925,706
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #9198019 ← → #9198083

Radix Representation

Decimal 9198070
Binary 100011000101100111110110 (24 bits)
Octal 0o43054766
Hexadecimal 0x8C59F6

Divisor Catalog (32)

1 2 5 7 10 14 35 70 101 202 505 707 1,010 1,301 1,414 2,602 3,535 6,505 7,070 9,107 13,010 18,214 45,535 91,070 131,401 262,802 657,005 919,807 1,314,010 1,839,614 4,599,035 9,198,070

Collatz Trajectory (287 steps to reach 1)

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

9,198,070 4,599,035 13,797,106 6,898,553 20,695,660 10,347,830 5,173,915 15,521,746 7,760,873 23,282,620 11,641,310 5,820,655 17,461,966 8,730,983 26,192,950 13,096,475 39,289,426 19,644,713 58,934,140 29,467,070 14,733,535 44,200,606 22,100,303 66,300,910 33,150,455 99,451,366 49,725,683 149,177,050 74,588,525 223,765,576 111,882,788 55,941,394 27,970,697 83,912,092 41,956,046 20,978,023 62,934,070 31,467,035 94,401,106 47,200,553 141,601,660 70,800,830 35,400,415 106,201,246 53,100,623 159,301,870 79,650,935 238,952,806 119,476,403 358,429,210 179,214,605 537,643,816 268,821,908 134,410,954 67,205,477 201,616,432 100,808,216 50,404,108 25,202,054 12,601,027

Active Feeder Network

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

Feeder #6,449,649 Feeder #6,177,699 Feeder #4,494,486 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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