λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,932,272
2,932,272
24 × 32 × 7 × 2909
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3^2 × 7 × 2909
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 9,381,840
Proper Divisor Sum 6,449,568
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2932271 ← → #2932273

Radix Representation

Decimal 2932272
Binary 1011001011111000110000 (22 bits)
Octal 0o13137060
Hexadecimal 0x2CBE30

Divisor Catalog (60)

1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1,008 2,909 5,818 8,727 11,636 17,454 20,363 23,272 26,181 34,908 40,726 46,544 52,362 61,089 69,816 81,452 104,724 122,178 139,632 162,904 183,267 209,448 244,356 325,808 366,534 418,896 488,712 733,068 977,424 1,466,136 2,932,272

Collatz Trajectory (89 steps to reach 1)

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

2,932,272 1,466,136 733,068 366,534 183,267 549,802 274,901 824,704 412,352 206,176 103,088 51,544 25,772 12,886 6,443 19,330 9,665 28,996 14,498 7,249 21,748 10,874 5,437 16,312 8,156 4,078 2,039 6,118 3,059 9,178 4,589 13,768 6,884 3,442 1,721 5,164 2,582 1,291 3,874 1,937 5,812 2,906 1,453 4,360 2,180 1,090 545 1,636 818 409 1,228 614 307 922 461 1,384 692 346 173 520

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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