λ
Ratio Atlas
Atlas › Integer Profiles › Node 345,576
345,576
23 × 3 × 7 × 112 × 17
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3 × 7 × 11^2 × 17
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 1,149,120
Proper Divisor Sum 803,544
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #345571 ← → #345577

Radix Representation

Decimal 345576
Binary 1010100010111101000 (19 bits)
Octal 0o1242750
Hexadecimal 0x545E8

Divisor Catalog (60 of 96)

1 2 3 4 6 7 8 11 12 14 17 21 22 24 28 33 34 42 44 51 56 66 68 77 84 88 102 119 121 132 136 154 168 187 204 231 238 242 264 308 357 363 374 408 462 476 484 561 616 714 726 748 847 924 952 968 1,122 1,309 1,428 1,452

Collatz Trajectory (166 steps to reach 1)

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

345,576 172,788 86,394 43,197 129,592 64,796 32,398 16,199 48,598 24,299 72,898 36,449 109,348 54,674 27,337 82,012 41,006 20,503 61,510 30,755 92,266 46,133 138,400 69,200 34,600 17,300 8,650 4,325 12,976 6,488 3,244 1,622 811 2,434 1,217 3,652 1,826 913 2,740 1,370 685 2,056 1,028 514 257 772 386 193 580 290 145 436 218 109 328 164 82 41 124 62

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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