λ
Ratio Atlas
Atlas › Integer Profiles › Node 71,199,891
71,199,891
34 × 72 × 17939
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^4 × 7^2 × 17939
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 123,732,180
Proper Divisor Sum 52,532,289
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #71199853 ← → #71199899

Radix Representation

Decimal 71199891
Binary 100001111100110110010010011 (27 bits)
Octal 0o417466223
Hexadecimal 0x43E6C93

Divisor Catalog (30)

1 3 7 9 21 27 49 63 81 147 189 441 567 1,323 3,969 17,939 53,817 125,573 161,451 376,719 484,353 879,011 1,130,157 1,453,059 2,637,033 3,390,471 7,911,099 10,171,413 23,733,297 71,199,891

Collatz Trajectory (197 steps to reach 1)

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

71,199,891 213,599,674 106,799,837 320,399,512 160,199,756 80,099,878 40,049,939 120,149,818 60,074,909 180,224,728 90,112,364 45,056,182 22,528,091 67,584,274 33,792,137 101,376,412 50,688,206 25,344,103 76,032,310 38,016,155 114,048,466 57,024,233 171,072,700 85,536,350 42,768,175 128,304,526 64,152,263 192,456,790 96,228,395 288,685,186 144,342,593 433,027,780 216,513,890 108,256,945 324,770,836 162,385,418 81,192,709 243,578,128 121,789,064 60,894,532 30,447,266 15,223,633 45,670,900 22,835,450 11,417,725 34,253,176 17,126,588 8,563,294 4,281,647 12,844,942 6,422,471 19,267,414 9,633,707 28,901,122 14,450,561 43,351,684 21,675,842 10,837,921 32,513,764 16,256,882

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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