13,518,325

5² × 31 × 17443

13,518,325 factors as 5^2 × 31 × 17443. Its 12 positive divisors give a proper-divisor sum of 3,786,123, so this integer is deficient. The Collatz stopping time is 197 steps.

Prime Factor Structure

Factorization String 5^2 × 31 × 17443

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 17,304,448

Proper Divisor Sum 3,786,123

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #13518313 ← → #13518343

Radix Representation

Decimal	13518325
Binary	110011100100010111110101 (24 bits)
Octal	0o63442765
Hexadecimal	0xCE45F5

Divisor Catalog (12)

1 5 25 31 155 775 17,443 87,215 436,075 540,733 2,703,665 13,518,325

Collatz Trajectory (197 steps to reach 1)

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

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 85,750

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