λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,092,825
8,092,825
52 × 13 × 37 × 673
Deficient Odd Composite

Prime Factor Structure

Factorization String 5^2 × 13 × 37 × 673
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 11,115,608
Proper Divisor Sum 3,022,783
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #8092817 ← → #8092831

Radix Representation

Decimal 8092825
Binary 11110110111110010011001 (23 bits)
Octal 0o36676231
Hexadecimal 0x7B7C99

Divisor Catalog (24)

1 5 13 25 37 65 185 325 481 673 925 2,405 3,365 8,749 12,025 16,825 24,901 43,745 124,505 218,725 323,713 622,525 1,618,565 8,092,825

Collatz Trajectory (248 steps to reach 1)

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

8,092,825 24,278,476 12,139,238 6,069,619 18,208,858 9,104,429 27,313,288 13,656,644 6,828,322 3,414,161 10,242,484 5,121,242 2,560,621 7,681,864 3,840,932 1,920,466 960,233 2,880,700 1,440,350 720,175 2,160,526 1,080,263 3,240,790 1,620,395 4,861,186 2,430,593 7,291,780 3,645,890 1,822,945 5,468,836 2,734,418 1,367,209 4,101,628 2,050,814 1,025,407 3,076,222 1,538,111 4,614,334 2,307,167 6,921,502 3,460,751 10,382,254 5,191,127 15,573,382 7,786,691 23,360,074 11,680,037 35,040,112 17,520,056 8,760,028 4,380,014 2,190,007 6,570,022 3,285,011 9,855,034 4,927,517 14,782,552 7,391,276 3,695,638 1,847,819

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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