λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,092,413
8,092,413
33 × 7 × 47 × 911
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^3 × 7 × 47 × 911
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 14,008,320
Proper Divisor Sum 5,915,907
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #8092397 ← → #8092429

Radix Representation

Decimal 8092413
Binary 11110110111101011111101 (23 bits)
Octal 0o36675375
Hexadecimal 0x7B7AFD

Divisor Catalog (32)

1 3 7 9 21 27 47 63 141 189 329 423 911 987 1,269 2,733 2,961 6,377 8,199 8,883 19,131 24,597 42,817 57,393 128,451 172,179 299,719 385,353 899,157 1,156,059 2,697,471 8,092,413

Collatz Trajectory (111 steps to reach 1)

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

8,092,413 24,277,240 12,138,620 6,069,310 3,034,655 9,103,966 4,551,983 13,655,950 6,827,975 20,483,926 10,241,963 30,725,890 15,362,945 46,088,836 23,044,418 11,522,209 34,566,628 17,283,314 8,641,657 25,924,972 12,962,486 6,481,243 19,443,730 9,721,865 29,165,596 14,582,798 7,291,399 21,874,198 10,937,099 32,811,298 16,405,649 49,216,948 24,608,474 12,304,237 36,912,712 18,456,356 9,228,178 4,614,089 13,842,268 6,921,134 3,460,567 10,381,702 5,190,851 15,572,554 7,786,277 23,358,832 11,679,416 5,839,708 2,919,854 1,459,927 4,379,782 2,189,891 6,569,674 3,284,837 9,854,512 4,927,256 2,463,628 1,231,814 615,907 1,847,722

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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