λ
Ratio Atlas
Atlas › Integer Profiles › Node 29,970
29,970
2 × 34 × 5 × 37
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^4 × 5 × 37
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 82,764
Proper Divisor Sum 52,794
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #29959 ← → #29983

Radix Representation

Decimal 29970
Binary 111010100010010 (15 bits)
Octal 0o72422
Hexadecimal 0x7512

Divisor Catalog (40)

1 2 3 5 6 9 10 15 18 27 30 37 45 54 74 81 90 111 135 162 185 222 270 333 370 405 555 666 810 999 1,110 1,665 1,998 2,997 3,330 4,995 5,994 9,990 14,985 29,970

Collatz Trajectory (64 steps to reach 1)

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

29,970 14,985 44,956 22,478 11,239 33,718 16,859 50,578 25,289 75,868 37,934 18,967 56,902 28,451 85,354 42,677 128,032 64,016 32,008 16,004 8,002 4,001 12,004 6,002 3,001 9,004 4,502 2,251 6,754 3,377 10,132 5,066 2,533 7,600 3,800 1,900 950 475 1,426 713 2,140 1,070 535 1,606 803 2,410 1,205 3,616 1,808 904 452 226 113 340 170 85 256 128 64 32

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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