λ
Ratio Atlas
Atlas › Integer Profiles › Node 67,158
67,158
2 × 32 × 7 × 13 × 41
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 13 × 41
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 183,456
Proper Divisor Sum 116,298
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #67157 ← → #67169

Radix Representation

Decimal 67158
Binary 10000011001010110 (17 bits)
Octal 0o203126
Hexadecimal 0x10656

Divisor Catalog (48)

1 2 3 6 7 9 13 14 18 21 26 39 41 42 63 78 82 91 117 123 126 182 234 246 273 287 369 533 546 574 738 819 861 1,066 1,599 1,638 1,722 2,583 3,198 3,731 4,797 5,166 7,462 9,594 11,193 22,386 33,579 67,158

Collatz Trajectory (68 steps to reach 1)

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

67,158 33,579 100,738 50,369 151,108 75,554 37,777 113,332 56,666 28,333 85,000 42,500 21,250 10,625 31,876 15,938 7,969 23,908 11,954 5,977 17,932 8,966 4,483 13,450 6,725 20,176 10,088 5,044 2,522 1,261 3,784 1,892 946 473 1,420 710 355 1,066 533 1,600 800 400 200 100 50 25 76 38 19 58 29 88 44 22 11 34 17 52 26 13

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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