λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,645,993
9,645,993
33 × 72 × 23 × 317
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^3 × 7^2 × 23 × 317
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 17,400,960
Proper Divisor Sum 7,754,967
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #9645959 ← → #9646003

Radix Representation

Decimal 9645993
Binary 100100110010111110101001 (24 bits)
Octal 0o44627651
Hexadecimal 0x932FA9

Divisor Catalog (48)

1 3 7 9 21 23 27 49 63 69 147 161 189 207 317 441 483 621 951 1,127 1,323 1,449 2,219 2,853 3,381 4,347 6,657 7,291 8,559 10,143 15,533 19,971 21,873 30,429 46,599 51,037 59,913 65,619 139,797 153,111 196,857 357,259 419,391 459,333 1,071,777 1,377,999 3,215,331 9,645,993

Collatz Trajectory (225 steps to reach 1)

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

9,645,993 28,937,980 14,468,990 7,234,495 21,703,486 10,851,743 32,555,230 16,277,615 48,832,846 24,416,423 73,249,270 36,624,635 109,873,906 54,936,953 164,810,860 82,405,430 41,202,715 123,608,146 61,804,073 185,412,220 92,706,110 46,353,055 139,059,166 69,529,583 208,588,750 104,294,375 312,883,126 156,441,563 469,324,690 234,662,345 703,987,036 351,993,518 175,996,759 527,990,278 263,995,139 791,985,418 395,992,709 1,187,978,128 593,989,064 296,994,532 148,497,266 74,248,633 222,745,900 111,372,950 55,686,475 167,059,426 83,529,713 250,589,140 125,294,570 62,647,285 187,941,856 93,970,928 46,985,464 23,492,732 11,746,366 5,873,183 17,619,550 8,809,775 26,429,326 13,214,663

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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