λ
Ratio Atlas
Atlas › Integer Profiles › Node 87,006,166
87,006,166
2 × 13 × 37 × 149 × 607
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 13 × 37 × 149 × 607
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 145,555,200
Proper Divisor Sum 58,549,034
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #87006151 ← → #87006209

Radix Representation

Decimal 87006166
Binary 101001011111001101111010110 (27 bits)
Octal 0o513715726
Hexadecimal 0x52F9BD6

Divisor Catalog (32)

1 2 13 26 37 74 149 298 481 607 962 1,214 1,937 3,874 5,513 7,891 11,026 15,782 22,459 44,918 71,669 90,443 143,338 180,886 291,967 583,934 1,175,759 2,351,518 3,346,391 6,692,782 43,503,083 87,006,166

Collatz Trajectory (205 steps to reach 1)

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

87,006,166 43,503,083 130,509,250 65,254,625 195,763,876 97,881,938 48,940,969 146,822,908 73,411,454 36,705,727 110,117,182 55,058,591 165,175,774 82,587,887 247,763,662 123,881,831 371,645,494 185,822,747 557,468,242 278,734,121 836,202,364 418,101,182 209,050,591 627,151,774 313,575,887 940,727,662 470,363,831 1,411,091,494 705,545,747 2,116,637,242 1,058,318,621 3,174,955,864 1,587,477,932 793,738,966 396,869,483 1,190,608,450 595,304,225 1,785,912,676 892,956,338 446,478,169 1,339,434,508 669,717,254 334,858,627 1,004,575,882 502,287,941 1,506,863,824 753,431,912 376,715,956 188,357,978 94,178,989 282,536,968 141,268,484 70,634,242 35,317,121 105,951,364 52,975,682 26,487,841 79,463,524 39,731,762 19,865,881

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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