27,036,650

2 × 5² × 31 × 17443

27,036,650 factors as 2 × 5^2 × 31 × 17443. Its 24 positive divisors give a proper-divisor sum of 24,876,694, so this integer is deficient. The Collatz stopping time is 198 steps.

Prime Factor Structure

Factorization String 2 × 5^2 × 31 × 17443

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 51,913,344

Proper Divisor Sum 24,876,694

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #27036643 ← → #27036683

Radix Representation

Decimal	27036650
Binary	1100111001000101111101010 (25 bits)
Octal	0o147105752
Hexadecimal	0x19C8BEA

Divisor Catalog (24)

Collatz Trajectory (198 steps to reach 1)

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

27,036,650 13,518,325 40,554,976 20,277,488 10,138,744 5,069,372 2,534,686 1,267,343 3,802,030 1,901,015 5,703,046 2,851,523 8,554,570 4,277,285 12,831,856 6,415,928 3,207,964 1,603,982 801,991 2,405,974 1,202,987 3,608,962 1,804,481 5,413,444 2,706,722 1,353,361 4,060,084 2,030,042 1,015,021 3,045,064 1,522,532 761,266 380,633 1,141,900 570,950 285,475 856,426 428,213 1,284,640 642,320 321,160 160,580 80,290 40,145 120,436 60,218 30,109 90,328 45,164 22,582 11,291 33,874 16,937 50,812 25,406 12,703 38,110 19,055 57,166 28,583

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