27,009,983

7 × 11³ × 13 × 223

27,009,983 factors as 7 × 11^3 × 13 × 223. Its 32 positive divisors give a proper-divisor sum of 9,718,849, so this integer is deficient. The Collatz stopping time is 110 steps.

Prime Factor Structure

Factorization String 7 × 11^3 × 13 × 223

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 36,728,832

Proper Divisor Sum 9,718,849

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #27009967 ← → #27009989

Radix Representation

Decimal	27009983
Binary	1100111000010001110111111 (25 bits)
Octal	0o147021677
Hexadecimal	0x19C23BF

Divisor Catalog (32)

Collatz Trajectory (110 steps to reach 1)

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

27,009,983 81,029,950 40,514,975 121,544,926 60,772,463 182,317,390 91,158,695 273,476,086 136,738,043 410,214,130 205,107,065 615,321,196 307,660,598 153,830,299 461,490,898 230,745,449 692,236,348 346,118,174 173,059,087 519,177,262 259,588,631 778,765,894 389,382,947 1,168,148,842 584,074,421 1,752,223,264 876,111,632 438,055,816 219,027,908 109,513,954 54,756,977 164,270,932 82,135,466 41,067,733 123,203,200 61,601,600 30,800,800 15,400,400 7,700,200 3,850,100 1,925,050 962,525 2,887,576 1,443,788 721,894 360,947 1,082,842 541,421 1,624,264 812,132 406,066 203,033 609,100 304,550 152,275 456,826 228,413 685,240 342,620 171,310

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