λ
Ratio Atlas
Atlas › Integer Profiles › Node 30,438,648
30,438,648
23 × 32 × 422759
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3^2 × 422759
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 82,438,200
Proper Divisor Sum 51,999,552
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #30438647 ← → #30438659

Radix Representation

Decimal 30438648
Binary 1110100000111010011111000 (25 bits)
Octal 0o164072370
Hexadecimal 0x1D074F8

Divisor Catalog (24)

1 2 3 4 6 8 9 12 18 24 36 72 422,759 845,518 1,268,277 1,691,036 2,536,554 3,382,072 3,804,831 5,073,108 7,609,662 10,146,216 15,219,324 30,438,648

Collatz Trajectory (188 steps to reach 1)

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

30,438,648 15,219,324 7,609,662 3,804,831 11,414,494 5,707,247 17,121,742 8,560,871 25,682,614 12,841,307 38,523,922 19,261,961 57,785,884 28,892,942 14,446,471 43,339,414 21,669,707 65,009,122 32,504,561 97,513,684 48,756,842 24,378,421 73,135,264 36,567,632 18,283,816 9,141,908 4,570,954 2,285,477 6,856,432 3,428,216 1,714,108 857,054 428,527 1,285,582 642,791 1,928,374 964,187 2,892,562 1,446,281 4,338,844 2,169,422 1,084,711 3,254,134 1,627,067 4,881,202 2,440,601 7,321,804 3,660,902 1,830,451 5,491,354 2,745,677 8,237,032 4,118,516 2,059,258 1,029,629 3,088,888 1,544,444 772,222 386,111 1,158,334

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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