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Ratio Atlas
Atlas › Integer Profiles › Node 31,185
31,185
34 × 5 × 7 × 11
Abundant Odd Composite

Prime Factor Structure

Factorization String 3^4 × 5 × 7 × 11
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 69,696
Proper Divisor Sum 38,511
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #31183 ← → #31189

Radix Representation

Decimal 31185
Binary 111100111010001 (15 bits)
Octal 0o74721
Hexadecimal 0x79D1

Divisor Catalog (40)

1 3 5 7 9 11 15 21 27 33 35 45 55 63 77 81 99 105 135 165 189 231 297 315 385 405 495 567 693 891 945 1,155 1,485 2,079 2,835 3,465 4,455 6,237 10,395 31,185

Collatz Trajectory (147 steps to reach 1)

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

31,185 93,556 46,778 23,389 70,168 35,084 17,542 8,771 26,314 13,157 39,472 19,736 9,868 4,934 2,467 7,402 3,701 11,104 5,552 2,776 1,388 694 347 1,042 521 1,564 782 391 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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