18,436,131

3² × 7 × 353 × 829

18,436,131 factors as 3^2 × 7 × 353 × 829. Its 24 positive divisors give a proper-divisor sum of 12,121,149, so this integer is deficient. The Collatz stopping time is 107 steps.

Prime Factor Structure

Factorization String 3^2 × 7 × 353 × 829

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 30,557,280

Proper Divisor Sum 12,121,149

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #18436123 ← → #18436153

Radix Representation

Decimal	18436131
Binary	1000110010101000000100011 (25 bits)
Octal	0o106250043
Hexadecimal	0x1195023

Divisor Catalog (24)

Collatz Trajectory (107 steps to reach 1)

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

18,436,131 55,308,394 27,654,197 82,962,592 41,481,296 20,740,648 10,370,324 5,185,162 2,592,581 7,777,744 3,888,872 1,944,436 972,218 486,109 1,458,328 729,164 364,582 182,291 546,874 273,437 820,312 410,156 205,078 102,539 307,618 153,809 461,428 230,714 115,357 346,072 173,036 86,518 43,259 129,778 64,889 194,668 97,334 48,667 146,002 73,001 219,004 109,502 54,751 164,254 82,127 246,382 123,191 369,574 184,787 554,362 277,181 831,544 415,772 207,886 103,943 311,830 155,915 467,746 233,873 701,620

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