λ
Ratio Atlas
Atlas › Integer Profiles › Node 49,710,100
49,710,100
22 × 52 × 11 × 45191
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 5^2 × 11 × 45191
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 117,679,968
Proper Divisor Sum 67,969,868
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #49710077 ← → #49710103

Radix Representation

Decimal 49710100
Binary 10111101101000010000010100 (26 bits)
Octal 0o275502024
Hexadecimal 0x2F68414

Divisor Catalog (36)

1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1,100 45,191 90,382 180,764 225,955 451,910 497,101 903,820 994,202 1,129,775 1,988,404 2,259,550 2,485,505 4,519,100 4,971,010 9,942,020 12,427,525 24,855,050 49,710,100

Collatz Trajectory (212 steps to reach 1)

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

49,710,100 24,855,050 12,427,525 37,282,576 18,641,288 9,320,644 4,660,322 2,330,161 6,990,484 3,495,242 1,747,621 5,242,864 2,621,432 1,310,716 655,358 327,679 983,038 491,519 1,474,558 737,279 2,211,838 1,105,919 3,317,758 1,658,879 4,976,638 2,488,319 7,464,958 3,732,479 11,197,438 5,598,719 16,796,158 8,398,079 25,194,238 12,597,119 37,791,358 18,895,679 56,687,038 28,343,519 85,030,558 42,515,279 127,545,838 63,772,919 191,318,758 95,659,379 286,978,138 143,489,069 430,467,208 215,233,604 107,616,802 53,808,401 161,425,204 80,712,602 40,356,301 121,068,904 60,534,452 30,267,226 15,133,613 45,400,840 22,700,420 11,350,210

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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