λ
Ratio Atlas
Atlas › Integer Profiles › Node 30,808,024
30,808,024
23 × 132 × 22787
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 13^2 × 22787
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 62,553,060
Proper Divisor Sum 31,745,036
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #30808003 ← → #30808027

Radix Representation

Decimal 30808024
Binary 1110101100001011111011000 (25 bits)
Octal 0o165413730
Hexadecimal 0x1D617D8

Divisor Catalog (24)

1 2 4 8 13 26 52 104 169 338 676 1,352 22,787 45,574 91,148 182,296 296,231 592,462 1,184,924 2,369,848 3,851,003 7,702,006 15,404,012 30,808,024

Collatz Trajectory (263 steps to reach 1)

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

30,808,024 15,404,012 7,702,006 3,851,003 11,553,010 5,776,505 17,329,516 8,664,758 4,332,379 12,997,138 6,498,569 19,495,708 9,747,854 4,873,927 14,621,782 7,310,891 21,932,674 10,966,337 32,899,012 16,449,506 8,224,753 24,674,260 12,337,130 6,168,565 18,505,696 9,252,848 4,626,424 2,313,212 1,156,606 578,303 1,734,910 867,455 2,602,366 1,301,183 3,903,550 1,951,775 5,855,326 2,927,663 8,782,990 4,391,495 13,174,486 6,587,243 19,761,730 9,880,865 29,642,596 14,821,298 7,410,649 22,231,948 11,115,974 5,557,987 16,673,962 8,336,981 25,010,944 12,505,472 6,252,736 3,126,368 1,563,184 781,592 390,796 195,398

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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