λ
Ratio Atlas
Atlas › Integer Profiles › Node 7,199,742
7,199,742
2 × 3 × 112 × 47 × 211
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 11^2 × 47 × 211
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 16,240,896
Proper Divisor Sum 9,041,154
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #7199737 ← → #7199747

Radix Representation

Decimal 7199742
Binary 11011011101101111111110 (23 bits)
Octal 0o33355776
Hexadecimal 0x6DDBFE

Divisor Catalog (48)

1 2 3 6 11 22 33 47 66 94 121 141 211 242 282 363 422 517 633 726 1,034 1,266 1,551 2,321 3,102 4,642 5,687 6,963 9,917 11,374 13,926 17,061 19,834 25,531 29,751 34,122 51,062 59,502 76,593 109,087 153,186 218,174 327,261 654,522 1,199,957 2,399,914 3,599,871 7,199,742

Collatz Trajectory (204 steps to reach 1)

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

7,199,742 3,599,871 10,799,614 5,399,807 16,199,422 8,099,711 24,299,134 12,149,567 36,448,702 18,224,351 54,673,054 27,336,527 82,009,582 41,004,791 123,014,374 61,507,187 184,521,562 92,260,781 276,782,344 138,391,172 69,195,586 34,597,793 103,793,380 51,896,690 25,948,345 77,845,036 38,922,518 19,461,259 58,383,778 29,191,889 87,575,668 43,787,834 21,893,917 65,681,752 32,840,876 16,420,438 8,210,219 24,630,658 12,315,329 36,945,988 18,472,994 9,236,497 27,709,492 13,854,746 6,927,373 20,782,120 10,391,060 5,195,530 2,597,765 7,793,296 3,896,648 1,948,324 974,162 487,081 1,461,244 730,622 365,311 1,095,934 547,967 1,643,902

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 #1,448,561 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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