λ
Ratio Atlas

27,018,917

37 × 827 × 883
Deficient Odd Composite

27,018,917 factors as 37 × 827 × 883. Its 8 positive divisors give a proper-divisor sum of 795,259, so this integer is deficient. The Collatz stopping time is 198 steps.

Prime Factor Structure

Factorization String 37 × 827 × 883
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 27,814,176
Proper Divisor Sum 795,259
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #27018911 ← → #27018919

Radix Representation

Decimal 27018917
Binary 1100111000100011010100101 (25 bits)
Octal 0o147043245
Hexadecimal 0x19C46A5

Divisor Catalog (8)

Collatz Trajectory (198 steps to reach 1)

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

27,018,917 81,056,752 40,528,376 20,264,188 10,132,094 5,066,047 15,198,142 7,599,071 22,797,214 11,398,607 34,195,822 17,097,911 51,293,734 25,646,867 76,940,602 38,470,301 115,410,904 57,705,452 28,852,726 14,426,363 43,279,090 21,639,545 64,918,636 32,459,318 16,229,659 48,688,978 24,344,489 73,033,468 36,516,734 18,258,367 54,775,102 27,387,551 82,162,654 41,081,327 123,243,982 61,621,991 184,865,974 92,432,987 277,298,962 138,649,481 415,948,444 207,974,222 103,987,111 311,961,334 155,980,667 467,942,002 233,971,001 701,913,004 350,956,502 175,478,251 526,434,754 263,217,377 789,652,132 394,826,066 197,413,033 592,239,100 296,119,550 148,059,775 444,179,326 222,089,663

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