λ
Ratio Atlas
Atlas › Integer Profiles › Node 48,759,996
48,759,996
22 × 3 × 401 × 10133
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 401 × 10133
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 114,068,304
Proper Divisor Sum 65,308,308
Digit Sum / Digital Root 57 (Root: 3)
Adjacent Primes #48759973 ← → #48760001

Radix Representation

Decimal 48759996
Binary 10111010000000010010111100 (26 bits)
Octal 0o272002274
Hexadecimal 0x2E804BC

Divisor Catalog (24)

1 2 3 4 6 12 401 802 1,203 1,604 2,406 4,812 10,133 20,266 30,399 40,532 60,798 121,596 4,063,333 8,126,666 12,189,999 16,253,332 24,379,998 48,759,996

Collatz Trajectory (230 steps to reach 1)

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

48,759,996 24,379,998 12,189,999 36,569,998 18,284,999 54,854,998 27,427,499 82,282,498 41,141,249 123,423,748 61,711,874 30,855,937 92,567,812 46,283,906 23,141,953 69,425,860 34,712,930 17,356,465 52,069,396 26,034,698 13,017,349 39,052,048 19,526,024 9,763,012 4,881,506 2,440,753 7,322,260 3,661,130 1,830,565 5,491,696 2,745,848 1,372,924 686,462 343,231 1,029,694 514,847 1,544,542 772,271 2,316,814 1,158,407 3,475,222 1,737,611 5,212,834 2,606,417 7,819,252 3,909,626 1,954,813 5,864,440 2,932,220 1,466,110 733,055 2,199,166 1,099,583 3,298,750 1,649,375 4,948,126 2,474,063 7,422,190 3,711,095 11,133,286

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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