λ
Ratio Atlas
Atlas › Integer Profiles › Node 7,948,452
7,948,452
22 × 3 × 17 × 47 × 829
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 17 × 47 × 829
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 20,079,360
Proper Divisor Sum 12,130,908
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #7948433 ← → #7948453

Radix Representation

Decimal 7948452
Binary 11110010100100010100100 (23 bits)
Octal 0o36244244
Hexadecimal 0x7948A4

Divisor Catalog (48)

1 2 3 4 6 12 17 34 47 51 68 94 102 141 188 204 282 564 799 829 1,598 1,658 2,397 2,487 3,196 3,316 4,794 4,974 9,588 9,948 14,093 28,186 38,963 42,279 56,372 77,926 84,558 116,889 155,852 169,116 233,778 467,556 662,371 1,324,742 1,987,113 2,649,484 3,974,226 7,948,452

Collatz Trajectory (204 steps to reach 1)

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

7,948,452 3,974,226 1,987,113 5,961,340 2,980,670 1,490,335 4,471,006 2,235,503 6,706,510 3,353,255 10,059,766 5,029,883 15,089,650 7,544,825 22,634,476 11,317,238 5,658,619 16,975,858 8,487,929 25,463,788 12,731,894 6,365,947 19,097,842 9,548,921 28,646,764 14,323,382 7,161,691 21,485,074 10,742,537 32,227,612 16,113,806 8,056,903 24,170,710 12,085,355 36,256,066 18,128,033 54,384,100 27,192,050 13,596,025 40,788,076 20,394,038 10,197,019 30,591,058 15,295,529 45,886,588 22,943,294 11,471,647 34,414,942 17,207,471 51,622,414 25,811,207 77,433,622 38,716,811 116,150,434 58,075,217 174,225,652 87,112,826 43,556,413 130,669,240 65,334,620

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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