λ
Ratio Atlas
Atlas › Integer Profiles › Node 47,876,187
47,876,187
3 × 29 × 37 × 107 × 139
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 29 × 37 × 107 × 139
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 68,947,200
Proper Divisor Sum 21,071,013
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #47876173 ← → #47876189

Radix Representation

Decimal 47876187
Binary 10110110101000100001011011 (26 bits)
Octal 0o266504133
Hexadecimal 0x2DA885B

Divisor Catalog (32)

1 3 29 37 87 107 111 139 321 417 1,073 3,103 3,219 3,959 4,031 5,143 9,309 11,877 12,093 14,873 15,429 44,619 114,811 149,147 344,433 431,317 447,441 550,301 1,293,951 1,650,903 15,958,729 47,876,187

Collatz Trajectory (173 steps to reach 1)

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

47,876,187 143,628,562 71,814,281 215,442,844 107,721,422 53,860,711 161,582,134 80,791,067 242,373,202 121,186,601 363,559,804 181,779,902 90,889,951 272,669,854 136,334,927 409,004,782 204,502,391 613,507,174 306,753,587 920,260,762 460,130,381 1,380,391,144 690,195,572 345,097,786 172,548,893 517,646,680 258,823,340 129,411,670 64,705,835 194,117,506 97,058,753 291,176,260 145,588,130 72,794,065 218,382,196 109,191,098 54,595,549 163,786,648 81,893,324 40,946,662 20,473,331 61,419,994 30,709,997 92,129,992 46,064,996 23,032,498 11,516,249 34,548,748 17,274,374 8,637,187 25,911,562 12,955,781 38,867,344 19,433,672 9,716,836 4,858,418 2,429,209 7,287,628 3,643,814 1,821,907

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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