λ
Ratio Atlas
Atlas › Integer Profiles › Node 5,340,414
5,340,414
2 × 3 × 17 × 41 × 1277
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 17 × 41 × 1277
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 11,594,016
Proper Divisor Sum 6,253,602
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #5340409 ← → #5340421

Radix Representation

Decimal 5340414
Binary 10100010111110011111110 (23 bits)
Octal 0o24276376
Hexadecimal 0x517CFE

Divisor Catalog (32)

1 2 3 6 17 34 41 51 82 102 123 246 697 1,277 1,394 2,091 2,554 3,831 4,182 7,662 21,709 43,418 52,357 65,127 104,714 130,254 157,071 314,142 890,069 1,780,138 2,670,207 5,340,414

Collatz Trajectory (263 steps to reach 1)

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

5,340,414 2,670,207 8,010,622 4,005,311 12,015,934 6,007,967 18,023,902 9,011,951 27,035,854 13,517,927 40,553,782 20,276,891 60,830,674 30,415,337 91,246,012 45,623,006 22,811,503 68,434,510 34,217,255 102,651,766 51,325,883 153,977,650 76,988,825 230,966,476 115,483,238 57,741,619 173,224,858 86,612,429 259,837,288 129,918,644 64,959,322 32,479,661 97,438,984 48,719,492 24,359,746 12,179,873 36,539,620 18,269,810 9,134,905 27,404,716 13,702,358 6,851,179 20,553,538 10,276,769 30,830,308 15,415,154 7,707,577 23,122,732 11,561,366 5,780,683 17,342,050 8,671,025 26,013,076 13,006,538 6,503,269 19,509,808 9,754,904 4,877,452 2,438,726 1,219,363

Active Feeder Network

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

Feeder #8,365,252 Feeder #1,448,561 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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