λ
Ratio Atlas
Atlas › Integer Profiles › Node 50,801,415
50,801,415
3 × 5 × 7 × 211 × 2293
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 7 × 211 × 2293
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 93,374,976
Proper Divisor Sum 42,573,561
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #50801393 ← → #50801431

Radix Representation

Decimal 50801415
Binary 11000001110010101100000111 (26 bits)
Octal 0o301625407
Hexadecimal 0x3072B07

Divisor Catalog (32)

1 3 5 7 15 21 35 105 211 633 1,055 1,477 2,293 3,165 4,431 6,879 7,385 11,465 16,051 22,155 34,395 48,153 80,255 240,765 483,823 1,451,469 2,419,115 3,386,761 7,257,345 10,160,283 16,933,805 50,801,415

Collatz Trajectory (106 steps to reach 1)

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

50,801,415 152,404,246 76,202,123 228,606,370 114,303,185 342,909,556 171,454,778 85,727,389 257,182,168 128,591,084 64,295,542 32,147,771 96,443,314 48,221,657 144,664,972 72,332,486 36,166,243 108,498,730 54,249,365 162,748,096 81,374,048 40,687,024 20,343,512 10,171,756 5,085,878 2,542,939 7,628,818 3,814,409 11,443,228 5,721,614 2,860,807 8,582,422 4,291,211 12,873,634 6,436,817 19,310,452 9,655,226 4,827,613 14,482,840 7,241,420 3,620,710 1,810,355 5,431,066 2,715,533 8,146,600 4,073,300 2,036,650 1,018,325 3,054,976 1,527,488 763,744 381,872 190,936 95,468 47,734 23,867 71,602 35,801 107,404 53,702

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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