λ
Ratio Atlas
Atlas › Integer Profiles › Node 6,200,428
6,200,428
22 × 13 × 43 × 47 × 59
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 13 × 43 × 47 × 59
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 12,418,560
Proper Divisor Sum 6,218,132
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #6200399 ← → #6200443

Radix Representation

Decimal 6200428
Binary 10111101001110001101100 (23 bits)
Octal 0o27516154
Hexadecimal 0x5E9C6C

Divisor Catalog (48)

1 2 4 13 26 43 47 52 59 86 94 118 172 188 236 559 611 767 1,118 1,222 1,534 2,021 2,236 2,444 2,537 2,773 3,068 4,042 5,074 5,546 8,084 10,148 11,092 26,273 32,981 36,049 52,546 65,962 72,098 105,092 119,239 131,924 144,196 238,478 476,956 1,550,107 3,100,214 6,200,428

Collatz Trajectory (395 steps to reach 1)

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

6,200,428 3,100,214 1,550,107 4,650,322 2,325,161 6,975,484 3,487,742 1,743,871 5,231,614 2,615,807 7,847,422 3,923,711 11,771,134 5,885,567 17,656,702 8,828,351 26,485,054 13,242,527 39,727,582 19,863,791 59,591,374 29,795,687 89,387,062 44,693,531 134,080,594 67,040,297 201,120,892 100,560,446 50,280,223 150,840,670 75,420,335 226,261,006 113,130,503 339,391,510 169,695,755 509,087,266 254,543,633 763,630,900 381,815,450 190,907,725 572,723,176 286,361,588 143,180,794 71,590,397 214,771,192 107,385,596 53,692,798 26,846,399 80,539,198 40,269,599 120,808,798 60,404,399 181,213,198 90,606,599 271,819,798 135,909,899 407,729,698 203,864,849 611,594,548 305,797,274

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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