λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,724,540
9,724,540
22 × 5 × 72 × 9923
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 5 × 7^2 × 9923
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 23,758,056
Proper Divisor Sum 14,033,516
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #9724531 ← → #9724543

Radix Representation

Decimal 9724540
Binary 100101000110001001111100 (24 bits)
Octal 0o45061174
Hexadecimal 0x94627C

Divisor Catalog (36)

1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 9,923 19,846 39,692 49,615 69,461 99,230 138,922 198,460 277,844 347,305 486,227 694,610 972,454 1,389,220 1,944,908 2,431,135 4,862,270 9,724,540

Collatz Trajectory (207 steps to reach 1)

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

9,724,540 4,862,270 2,431,135 7,293,406 3,646,703 10,940,110 5,470,055 16,410,166 8,205,083 24,615,250 12,307,625 36,922,876 18,461,438 9,230,719 27,692,158 13,846,079 41,538,238 20,769,119 62,307,358 31,153,679 93,461,038 46,730,519 140,191,558 70,095,779 210,287,338 105,143,669 315,431,008 157,715,504 78,857,752 39,428,876 19,714,438 9,857,219 29,571,658 14,785,829 44,357,488 22,178,744 11,089,372 5,544,686 2,772,343 8,317,030 4,158,515 12,475,546 6,237,773 18,713,320 9,356,660 4,678,330 2,339,165 7,017,496 3,508,748 1,754,374 877,187 2,631,562 1,315,781 3,947,344 1,973,672 986,836 493,418 246,709 740,128 370,064

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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