λ
Ratio Atlas
Atlas › Integer Profiles › Node 7,636,734
7,636,734
2 × 33 × 7 × 89 × 227
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^3 × 7 × 89 × 227
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 19,699,200
Proper Divisor Sum 12,062,466
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #7636721 ← → #7636751

Radix Representation

Decimal 7636734
Binary 11101001000011011111110 (23 bits)
Octal 0o35103376
Hexadecimal 0x7486FE

Divisor Catalog (60 of 64)

1 2 3 6 7 9 14 18 21 27 42 54 63 89 126 178 189 227 267 378 454 534 623 681 801 1,246 1,362 1,589 1,602 1,869 2,043 2,403 3,178 3,738 4,086 4,767 4,806 5,607 6,129 9,534 11,214 12,258 14,301 16,821 20,203 28,602 33,642 40,406 42,903 60,609 85,806 121,218 141,421 181,827 282,842 363,654 424,263 545,481 848,526 1,090,962

Collatz Trajectory (217 steps to reach 1)

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

7,636,734 3,818,367 11,455,102 5,727,551 17,182,654 8,591,327 25,773,982 12,886,991 38,660,974 19,330,487 57,991,462 28,995,731 86,987,194 43,493,597 130,480,792 65,240,396 32,620,198 16,310,099 48,930,298 24,465,149 73,395,448 36,697,724 18,348,862 9,174,431 27,523,294 13,761,647 41,284,942 20,642,471 61,927,414 30,963,707 92,891,122 46,445,561 139,336,684 69,668,342 34,834,171 104,502,514 52,251,257 156,753,772 78,376,886 39,188,443 117,565,330 58,782,665 176,347,996 88,173,998 44,086,999 132,260,998 66,130,499 198,391,498 99,195,749 297,587,248 148,793,624 74,396,812 37,198,406 18,599,203 55,797,610 27,898,805 83,696,416 41,848,208 20,924,104 10,462,052

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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