λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,737,980
9,737,980
22 × 5 × 7 × 69557
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 69557
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 23,371,488
Proper Divisor Sum 13,633,508
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #9737971 ← → #9737983

Radix Representation

Decimal 9737980
Binary 100101001001011011111100 (24 bits)
Octal 0o45113374
Hexadecimal 0x9496FC

Divisor Catalog (24)

1 2 4 5 7 10 14 20 28 35 70 140 69,557 139,114 278,228 347,785 486,899 695,570 973,798 1,391,140 1,947,596 2,434,495 4,868,990 9,737,980

Collatz Trajectory (238 steps to reach 1)

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

9,737,980 4,868,990 2,434,495 7,303,486 3,651,743 10,955,230 5,477,615 16,432,846 8,216,423 24,649,270 12,324,635 36,973,906 18,486,953 55,460,860 27,730,430 13,865,215 41,595,646 20,797,823 62,393,470 31,196,735 93,590,206 46,795,103 140,385,310 70,192,655 210,577,966 105,288,983 315,866,950 157,933,475 473,800,426 236,900,213 710,700,640 355,350,320 177,675,160 88,837,580 44,418,790 22,209,395 66,628,186 33,314,093 99,942,280 49,971,140 24,985,570 12,492,785 37,478,356 18,739,178 9,369,589 28,108,768 14,054,384 7,027,192 3,513,596 1,756,798 878,399 2,635,198 1,317,599 3,952,798 1,976,399 5,929,198 2,964,599 8,893,798 4,446,899 13,340,698

Active Feeder Network

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

Feeder #1,448,561 Feeder #6,970,568 Feeder #2,947,453 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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