λ
Ratio Atlas
Atlas › Integer Profiles › Node 48,759,990
48,759,990
2 × 3 × 5 × 211 × 7703
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 5 × 211 × 7703
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 117,593,856
Proper Divisor Sum 68,833,866
Digit Sum / Digital Root 51 (Root: 6)
Adjacent Primes #48759973 ← → #48760001

Radix Representation

Decimal 48759990
Binary 10111010000000010010110110 (26 bits)
Octal 0o272002266
Hexadecimal 0x2E804B6

Divisor Catalog (32)

1 2 3 5 6 10 15 30 211 422 633 1,055 1,266 2,110 3,165 6,330 7,703 15,406 23,109 38,515 46,218 77,030 115,545 231,090 1,625,333 3,250,666 4,875,999 8,126,665 9,751,998 16,253,330 24,379,995 48,759,990

Collatz Trajectory (230 steps to reach 1)

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

48,759,990 24,379,995 73,139,986 36,569,993 109,709,980 54,854,990 27,427,495 82,282,486 41,141,243 123,423,730 61,711,865 185,135,596 92,567,798 46,283,899 138,851,698 69,425,849 208,277,548 104,138,774 52,069,387 156,208,162 78,104,081 234,312,244 117,156,122 58,578,061 175,734,184 87,867,092 43,933,546 21,966,773 65,900,320 32,950,160 16,475,080 8,237,540 4,118,770 2,059,385 6,178,156 3,089,078 1,544,539 4,633,618 2,316,809 6,950,428 3,475,214 1,737,607 5,212,822 2,606,411 7,819,234 3,909,617 11,728,852 5,864,426 2,932,213 8,796,640 4,398,320 2,199,160 1,099,580 549,790 274,895 824,686 412,343 1,237,030 618,515 1,855,546

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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