λ
Ratio Atlas
Atlas › Integer Profiles › Node 71,682,003
71,682,003
34 × 19 × 47 × 991
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^4 × 19 × 47 × 991
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 115,230,720
Proper Divisor Sum 43,548,717
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #71681983 ← → #71682011

Radix Representation

Decimal 71682003
Binary 100010001011100011111010011 (27 bits)
Octal 0o421343723
Hexadecimal 0x445C7D3

Divisor Catalog (40)

1 3 9 19 27 47 57 81 141 171 423 513 893 991 1,269 1,539 2,679 2,973 3,807 8,037 8,919 18,829 24,111 26,757 46,577 56,487 72,333 80,271 139,731 169,461 419,193 508,383 884,963 1,257,579 1,525,149 2,654,889 3,772,737 7,964,667 23,894,001 71,682,003

Collatz Trajectory (166 steps to reach 1)

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

71,682,003 215,046,010 107,523,005 322,569,016 161,284,508 80,642,254 40,321,127 120,963,382 60,481,691 181,445,074 90,722,537 272,167,612 136,083,806 68,041,903 204,125,710 102,062,855 306,188,566 153,094,283 459,282,850 229,641,425 688,924,276 344,462,138 172,231,069 516,693,208 258,346,604 129,173,302 64,586,651 193,759,954 96,879,977 290,639,932 145,319,966 72,659,983 217,979,950 108,989,975 326,969,926 163,484,963 490,454,890 245,227,445 735,682,336 367,841,168 183,920,584 91,960,292 45,980,146 22,990,073 68,970,220 34,485,110 17,242,555 51,727,666 25,863,833 77,591,500 38,795,750 19,397,875 58,193,626 29,096,813 87,290,440 43,645,220 21,822,610 10,911,305 32,733,916 16,366,958

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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