18,436,120

2³ × 5 × 460903

18,436,120 factors as 2^3 × 5 × 460903. Its 16 positive divisors give a proper-divisor sum of 23,045,240, so this integer is abundant. The Collatz stopping time is 107 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 460903

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 41,481,360

Proper Divisor Sum 23,045,240

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #18436097 ← → #18436123

Radix Representation

Decimal	18436120
Binary	1000110010101000000011000 (25 bits)
Octal	0o106250030
Hexadecimal	0x1195018

Divisor Catalog (16)

1 2 4 5 8 10 20 40 460,903 921,806 1,843,612 2,304,515 3,687,224 4,609,030 9,218,060 18,436,120

Collatz Trajectory (107 steps to reach 1)

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

18,436,120 9,218,060 4,609,030 2,304,515 6,913,546 3,456,773 10,370,320 5,185,160 2,592,580 1,296,290 648,145 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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