λ
Ratio Atlas
Atlas › Integer Profiles › Node 7,242,543
7,242,543
32 × 72 × 11 × 1493
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 7^2 × 11 × 1493
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 13,284,648
Proper Divisor Sum 6,042,105
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #7242523 ← → #7242551

Radix Representation

Decimal 7242543
Binary 11011101000001100101111 (23 bits)
Octal 0o33501457
Hexadecimal 0x6E832F

Divisor Catalog (36)

1 3 7 9 11 21 33 49 63 77 99 147 231 441 539 693 1,493 1,617 4,479 4,851 10,451 13,437 16,423 31,353 49,269 73,157 94,059 114,961 147,807 219,471 344,883 658,413 804,727 1,034,649 2,414,181 7,242,543

Collatz Trajectory (266 steps to reach 1)

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

7,242,543 21,727,630 10,863,815 32,591,446 16,295,723 48,887,170 24,443,585 73,330,756 36,665,378 18,332,689 54,998,068 27,499,034 13,749,517 41,248,552 20,624,276 10,312,138 5,156,069 15,468,208 7,734,104 3,867,052 1,933,526 966,763 2,900,290 1,450,145 4,350,436 2,175,218 1,087,609 3,262,828 1,631,414 815,707 2,447,122 1,223,561 3,670,684 1,835,342 917,671 2,753,014 1,376,507 4,129,522 2,064,761 6,194,284 3,097,142 1,548,571 4,645,714 2,322,857 6,968,572 3,484,286 1,742,143 5,226,430 2,613,215 7,839,646 3,919,823 11,759,470 5,879,735 17,639,206 8,819,603 26,458,810 13,229,405 39,688,216 19,844,108 9,922,054

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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