λ
Ratio Atlas

18,092,001

3 × 37 × 389 × 419
Deficient Odd Composite

18,092,001 factors as 3 × 37 × 389 × 419. Its 16 positive divisors give a proper-divisor sum of 6,805,599, so this integer is deficient. The Collatz stopping time is 332 steps.

Prime Factor Structure

Factorization String 3 × 37 × 389 × 419
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 24,897,600
Proper Divisor Sum 6,805,599
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #18091993 ← → #18092023

Radix Representation

Decimal 18092001
Binary 1000101000000111111100001 (25 bits)
Octal 0o105007741
Hexadecimal 0x1140FE1

Divisor Catalog (16)

Collatz Trajectory (332 steps to reach 1)

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

18,092,001 54,276,004 27,138,002 13,569,001 40,707,004 20,353,502 10,176,751 30,530,254 15,265,127 45,795,382 22,897,691 68,693,074 34,346,537 103,039,612 51,519,806 25,759,903 77,279,710 38,639,855 115,919,566 57,959,783 173,879,350 86,939,675 260,819,026 130,409,513 391,228,540 195,614,270 97,807,135 293,421,406 146,710,703 440,132,110 220,066,055 660,198,166 330,099,083 990,297,250 495,148,625 1,485,445,876 742,722,938 371,361,469 1,114,084,408 557,042,204 278,521,102 139,260,551 417,781,654 208,890,827 626,672,482 313,336,241 940,008,724 470,004,362 235,002,181 705,006,544 352,503,272 176,251,636 88,125,818 44,062,909 132,188,728 66,094,364 33,047,182 16,523,591 49,570,774 24,785,387

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