λ
Ratio Atlas
Atlas › Integer Profiles › Node 87,134,138
87,134,138
2 × 7 × 13 × 211 × 2269
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 7 × 13 × 211 × 2269
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 161,696,640
Proper Divisor Sum 74,562,502
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #87134137 ← → #87134141

Radix Representation

Decimal 87134138
Binary 101001100011000111110111010 (27 bits)
Octal 0o514307672
Hexadecimal 0x5318FBA

Divisor Catalog (32)

1 2 7 13 14 26 91 182 211 422 1,477 2,269 2,743 2,954 4,538 5,486 15,883 19,201 29,497 31,766 38,402 58,994 206,479 412,958 478,759 957,518 3,351,313 6,223,867 6,702,626 12,447,734 43,567,069 87,134,138

Collatz Trajectory (130 steps to reach 1)

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

87,134,138 43,567,069 130,701,208 65,350,604 32,675,302 16,337,651 49,012,954 24,506,477 73,519,432 36,759,716 18,379,858 9,189,929 27,569,788 13,784,894 6,892,447 20,677,342 10,338,671 31,016,014 15,508,007 46,524,022 23,262,011 69,786,034 34,893,017 104,679,052 52,339,526 26,169,763 78,509,290 39,254,645 117,763,936 58,881,968 29,440,984 14,720,492 7,360,246 3,680,123 11,040,370 5,520,185 16,560,556 8,280,278 4,140,139 12,420,418 6,210,209 18,630,628 9,315,314 4,657,657 13,972,972 6,986,486 3,493,243 10,479,730 5,239,865 15,719,596 7,859,798 3,929,899 11,789,698 5,894,849 17,684,548 8,842,274 4,421,137 13,263,412 6,631,706 3,315,853

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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