λ
Ratio Atlas
Atlas › Integer Profiles › Node 7,660,422
7,660,422
2 × 32 × 7 × 11 × 5527
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 11 × 5527
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 20,696,832
Proper Divisor Sum 13,036,410
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #7660417 ← → #7660423

Radix Representation

Decimal 7660422
Binary 11101001110001110000110 (23 bits)
Octal 0o35161606
Hexadecimal 0x74E386

Divisor Catalog (48)

1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 693 1,386 5,527 11,054 16,581 33,162 38,689 49,743 60,797 77,378 99,486 116,067 121,594 182,391 232,134 348,201 364,782 425,579 547,173 696,402 851,158 1,094,346 1,276,737 2,553,474 3,830,211 7,660,422

Collatz Trajectory (173 steps to reach 1)

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

7,660,422 3,830,211 11,490,634 5,745,317 17,235,952 8,617,976 4,308,988 2,154,494 1,077,247 3,231,742 1,615,871 4,847,614 2,423,807 7,271,422 3,635,711 10,907,134 5,453,567 16,360,702 8,180,351 24,541,054 12,270,527 36,811,582 18,405,791 55,217,374 27,608,687 82,826,062 41,413,031 124,239,094 62,119,547 186,358,642 93,179,321 279,537,964 139,768,982 69,884,491 209,653,474 104,826,737 314,480,212 157,240,106 78,620,053 235,860,160 117,930,080 58,965,040 29,482,520 14,741,260 7,370,630 3,685,315 11,055,946 5,527,973 16,583,920 8,291,960 4,145,980 2,072,990 1,036,495 3,109,486 1,554,743 4,664,230 2,332,115 6,996,346 3,498,173 10,494,520

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 #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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