λ
Ratio Atlas
Atlas › Integer Profiles › Node 47,876,235
47,876,235
3 × 5 × 11 × 179 × 1621
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 11 × 179 × 1621
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 84,084,480
Proper Divisor Sum 36,208,245
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #47876209 ← → #47876237

Radix Representation

Decimal 47876235
Binary 10110110101000100010001011 (26 bits)
Octal 0o266504213
Hexadecimal 0x2DA888B

Divisor Catalog (32)

1 3 5 11 15 33 55 165 179 537 895 1,621 1,969 2,685 4,863 5,907 8,105 9,845 17,831 24,315 29,535 53,493 89,155 267,465 290,159 870,477 1,450,795 3,191,749 4,352,385 9,575,247 15,958,745 47,876,235

Collatz Trajectory (142 steps to reach 1)

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

47,876,235 143,628,706 71,814,353 215,443,060 107,721,530 53,860,765 161,582,296 80,791,148 40,395,574 20,197,787 60,593,362 30,296,681 90,890,044 45,445,022 22,722,511 68,167,534 34,083,767 102,251,302 51,125,651 153,376,954 76,688,477 230,065,432 115,032,716 57,516,358 28,758,179 86,274,538 43,137,269 129,411,808 64,705,904 32,352,952 16,176,476 8,088,238 4,044,119 12,132,358 6,066,179 18,198,538 9,099,269 27,297,808 13,648,904 6,824,452 3,412,226 1,706,113 5,118,340 2,559,170 1,279,585 3,838,756 1,919,378 959,689 2,879,068 1,439,534 719,767 2,159,302 1,079,651 3,238,954 1,619,477 4,858,432 2,429,216 1,214,608 607,304 303,652

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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