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Ratio Atlas
Atlas › Integer Profiles › Node 31,464
31,464
23 × 32 × 19 × 23
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3^2 × 19 × 23
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 93,600
Proper Divisor Sum 62,136
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #31397 ← → #31469

Radix Representation

Decimal 31464
Binary 111101011101000 (15 bits)
Octal 0o75350
Hexadecimal 0x7AE8

Divisor Catalog (48)

1 2 3 4 6 8 9 12 18 19 23 24 36 38 46 57 69 72 76 92 114 138 152 171 184 207 228 276 342 414 437 456 552 684 828 874 1,311 1,368 1,656 1,748 2,622 3,496 3,933 5,244 7,866 10,488 15,732 31,464

Collatz Trajectory (147 steps to reach 1)

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

31,464 15,732 7,866 3,933 11,800 5,900 2,950 1,475 4,426 2,213 6,640 3,320 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108 3,554 1,777 5,332 2,666 1,333 4,000 2,000 1,000 500 250 125 376 188 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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