λ
Ratio Atlas
Atlas › Integer Profiles › Node 11,970
11,970
2 × 32 × 5 × 7 × 19
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 7 × 19
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 37,440
Proper Divisor Sum 25,470
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #11969 ← → #11971

Radix Representation

Decimal 11970
Binary 10111011000010 (14 bits)
Octal 0o27302
Hexadecimal 0x2EC2

Divisor Catalog (48)

1 2 3 5 6 7 9 10 14 15 18 19 21 30 35 38 42 45 57 63 70 90 95 105 114 126 133 171 190 210 266 285 315 342 399 570 630 665 798 855 1,197 1,330 1,710 1,995 2,394 3,990 5,985 11,970

Collatz Trajectory (94 steps to reach 1)

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

11,970 5,985 17,956 8,978 4,489 13,468 6,734 3,367 10,102 5,051 15,154 7,577 22,732 11,366 5,683 17,050 8,525 25,576 12,788 6,394 3,197 9,592 4,796 2,398 1,199 3,598 1,799 5,398 2,699 8,098 4,049 12,148 6,074 3,037 9,112 4,556 2,278 1,139 3,418 1,709 5,128 2,564 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752

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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