λ
Ratio Atlas
Atlas › Integer Profiles › Node 50,677,758
50,677,758
2 × 33 × 947 × 991
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^3 × 947 × 991
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 112,849,920
Proper Divisor Sum 62,172,162
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #50677729 ← → #50677771

Radix Representation

Decimal 50677758
Binary 11000001010100011111111110 (26 bits)
Octal 0o301243776
Hexadecimal 0x30547FE

Divisor Catalog (32)

1 2 3 6 9 18 27 54 947 991 1,894 1,982 2,841 2,973 5,682 5,946 8,523 8,919 17,046 17,838 25,569 26,757 51,138 53,514 938,477 1,876,954 2,815,431 5,630,862 8,446,293 16,892,586 25,338,879 50,677,758

Collatz Trajectory (181 steps to reach 1)

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

50,677,758 25,338,879 76,016,638 38,008,319 114,024,958 57,012,479 171,037,438 85,518,719 256,556,158 128,278,079 384,834,238 192,417,119 577,251,358 288,625,679 865,877,038 432,938,519 1,298,815,558 649,407,779 1,948,223,338 974,111,669 2,922,335,008 1,461,167,504 730,583,752 365,291,876 182,645,938 91,322,969 273,968,908 136,984,454 68,492,227 205,476,682 102,738,341 308,215,024 154,107,512 77,053,756 38,526,878 19,263,439 57,790,318 28,895,159 86,685,478 43,342,739 130,028,218 65,014,109 195,042,328 97,521,164 48,760,582 24,380,291 73,140,874 36,570,437 109,711,312 54,855,656 27,427,828 13,713,914 6,856,957 20,570,872 10,285,436 5,142,718 2,571,359 7,714,078 3,857,039 11,571,118

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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