λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,092,875
8,092,875
3 × 53 × 7 × 3083
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5^3 × 7 × 3083
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 15,395,328
Proper Divisor Sum 7,302,453
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #8092871 ← → #8092897

Radix Representation

Decimal 8092875
Binary 11110110111110011001011 (23 bits)
Octal 0o36676313
Hexadecimal 0x7B7CCB

Divisor Catalog (32)

1 3 5 7 15 21 25 35 75 105 125 175 375 525 875 2,625 3,083 9,249 15,415 21,581 46,245 64,743 77,075 107,905 231,225 323,715 385,375 539,525 1,156,125 1,618,575 2,697,625 8,092,875

Collatz Trajectory (248 steps to reach 1)

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

8,092,875 24,278,626 12,139,313 36,417,940 18,208,970 9,104,485 27,313,456 13,656,728 6,828,364 3,414,182 1,707,091 5,121,274 2,560,637 7,681,912 3,840,956 1,920,478 960,239 2,880,718 1,440,359 4,321,078 2,160,539 6,481,618 3,240,809 9,722,428 4,861,214 2,430,607 7,291,822 3,645,911 10,937,734 5,468,867 16,406,602 8,203,301 24,609,904 12,304,952 6,152,476 3,076,238 1,538,119 4,614,358 2,307,179 6,921,538 3,460,769 10,382,308 5,191,154 2,595,577 7,786,732 3,893,366 1,946,683 5,840,050 2,920,025 8,760,076 4,380,038 2,190,019 6,570,058 3,285,029 9,855,088 4,927,544 2,463,772 1,231,886 615,943 1,847,830

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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