λ
Ratio Atlas
Atlas › Integer Profiles › Node 71,682,002
71,682,002
2 × 72 × 113 × 6473
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 7^2 × 113 × 6473
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 126,204,156
Proper Divisor Sum 54,522,154
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #71681983 ← → #71682011

Radix Representation

Decimal 71682002
Binary 100010001011100011111010010 (27 bits)
Octal 0o421343722
Hexadecimal 0x445C7D2

Divisor Catalog (24)

1 2 7 14 49 98 113 226 791 1,582 5,537 6,473 11,074 12,946 45,311 90,622 317,177 634,354 731,449 1,462,898 5,120,143 10,240,286 35,841,001 71,682,002

Collatz Trajectory (166 steps to reach 1)

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

71,682,002 35,841,001 107,523,004 53,761,502 26,880,751 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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