λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,306,780
9,306,780
22 × 3 × 5 × 7 × 22159
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 7 × 22159
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 29,783,040
Proper Divisor Sum 20,476,260
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9306779 ← → #9306797

Radix Representation

Decimal 9306780
Binary 100011100000001010011100 (24 bits)
Octal 0o43401234
Hexadecimal 0x8E029C

Divisor Catalog (48)

1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 22,159 44,318 66,477 88,636 110,795 132,954 155,113 221,590 265,908 310,226 332,385 443,180 465,339 620,452 664,770 775,565 930,678 1,329,540 1,551,130 1,861,356 2,326,695 3,102,260 4,653,390 9,306,780

Collatz Trajectory (225 steps to reach 1)

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

9,306,780 4,653,390 2,326,695 6,980,086 3,490,043 10,470,130 5,235,065 15,705,196 7,852,598 3,926,299 11,778,898 5,889,449 17,668,348 8,834,174 4,417,087 13,251,262 6,625,631 19,876,894 9,938,447 29,815,342 14,907,671 44,723,014 22,361,507 67,084,522 33,542,261 100,626,784 50,313,392 25,156,696 12,578,348 6,289,174 3,144,587 9,433,762 4,716,881 14,150,644 7,075,322 3,537,661 10,612,984 5,306,492 2,653,246 1,326,623 3,979,870 1,989,935 5,969,806 2,984,903 8,954,710 4,477,355 13,432,066 6,716,033 20,148,100 10,074,050 5,037,025 15,111,076 7,555,538 3,777,769 11,333,308 5,666,654 2,833,327 8,499,982 4,249,991 12,749,974

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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