λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,702,920
9,702,920
23 × 5 × 17 × 19 × 751
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 5 × 17 × 19 × 751
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 24,364,800
Proper Divisor Sum 14,661,880
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #9702919 ← → #9702929

Radix Representation

Decimal 9702920
Binary 100101000000111000001000 (24 bits)
Octal 0o45007010
Hexadecimal 0x940E08

Divisor Catalog (60 of 64)

1 2 4 5 8 10 17 19 20 34 38 40 68 76 85 95 136 152 170 190 323 340 380 646 680 751 760 1,292 1,502 1,615 2,584 3,004 3,230 3,755 6,008 6,460 7,510 12,767 12,920 14,269 15,020 25,534 28,538 30,040 51,068 57,076 63,835 71,345 102,136 114,152 127,670 142,690 242,573 255,340 285,380 485,146 510,680 570,760 970,292 1,212,865

Collatz Trajectory (101 steps to reach 1)

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

9,702,920 4,851,460 2,425,730 1,212,865 3,638,596 1,819,298 909,649 2,728,948 1,364,474 682,237 2,046,712 1,023,356 511,678 255,839 767,518 383,759 1,151,278 575,639 1,726,918 863,459 2,590,378 1,295,189 3,885,568 1,942,784 971,392 485,696 242,848 121,424 60,712 30,356 15,178 7,589 22,768 11,384 5,692 2,846 1,423 4,270 2,135 6,406 3,203 9,610 4,805 14,416 7,208 3,604 1,802 901 2,704 1,352 676 338 169 508 254 127 382 191 574 287

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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