λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,554,725
8,554,725
32 × 52 × 193 × 197
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 5^2 × 193 × 197
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 15,480,036
Proper Divisor Sum 6,925,311
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #8554717 ← → #8554747

Radix Representation

Decimal 8554725
Binary 100000101000100011100101 (24 bits)
Octal 0o40504345
Hexadecimal 0x8288E5

Divisor Catalog (36)

1 3 5 9 15 25 45 75 193 197 225 579 591 965 985 1,737 1,773 2,895 2,955 4,825 4,925 8,685 8,865 14,475 14,775 38,021 43,425 44,325 114,063 190,105 342,189 570,315 950,525 1,710,945 2,851,575 8,554,725

Collatz Trajectory (181 steps to reach 1)

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

8,554,725 25,664,176 12,832,088 6,416,044 3,208,022 1,604,011 4,812,034 2,406,017 7,218,052 3,609,026 1,804,513 5,413,540 2,706,770 1,353,385 4,060,156 2,030,078 1,015,039 3,045,118 1,522,559 4,567,678 2,283,839 6,851,518 3,425,759 10,277,278 5,138,639 15,415,918 7,707,959 23,123,878 11,561,939 34,685,818 17,342,909 52,028,728 26,014,364 13,007,182 6,503,591 19,510,774 9,755,387 29,266,162 14,633,081 43,899,244 21,949,622 10,974,811 32,924,434 16,462,217 49,386,652 24,693,326 12,346,663 37,039,990 18,519,995 55,559,986 27,779,993 83,339,980 41,669,990 20,834,995 62,504,986 31,252,493 93,757,480 46,878,740 23,439,370 11,719,685

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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