λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,552,775
8,552,775
3 × 52 × 7 × 11 × 1481
Abundant Odd Composite

Prime Factor Structure

Factorization String 3 × 5^2 × 7 × 11 × 1481
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 17,641,728
Proper Divisor Sum 9,088,953
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #8552771 ← → #8552779

Radix Representation

Decimal 8552775
Binary 100000101000000101000111 (24 bits)
Octal 0o40500507
Hexadecimal 0x828147

Divisor Catalog (48)

1 3 5 7 11 15 21 25 33 35 55 75 77 105 165 175 231 275 385 525 825 1,155 1,481 1,925 4,443 5,775 7,405 10,367 16,291 22,215 31,101 37,025 48,873 51,835 81,455 111,075 114,037 155,505 244,365 259,175 342,111 407,275 570,185 777,525 1,221,825 1,710,555 2,850,925 8,552,775

Collatz Trajectory (181 steps to reach 1)

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

8,552,775 25,658,326 12,829,163 38,487,490 19,243,745 57,731,236 28,865,618 14,432,809 43,298,428 21,649,214 10,824,607 32,473,822 16,236,911 48,710,734 24,355,367 73,066,102 36,533,051 109,599,154 54,799,577 164,398,732 82,199,366 41,099,683 123,299,050 61,649,525 184,948,576 92,474,288 46,237,144 23,118,572 11,559,286 5,779,643 17,338,930 8,669,465 26,008,396 13,004,198 6,502,099 19,506,298 9,753,149 29,259,448 14,629,724 7,314,862 3,657,431 10,972,294 5,486,147 16,458,442 8,229,221 24,687,664 12,343,832 6,171,916 3,085,958 1,542,979 4,628,938 2,314,469 6,943,408 3,471,704 1,735,852 867,926 433,963 1,301,890 650,945 1,952,836

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 #1,448,561 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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