27,242,324

2² × 967 × 7043

27,242,324 factors as 2^2 × 967 × 7043. Its 12 positive divisors give a proper-divisor sum of 20,487,820, so this integer is deficient. The Collatz stopping time is 180 steps.

Prime Factor Structure

Factorization String 2^2 × 967 × 7043

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 47,730,144

Proper Divisor Sum 20,487,820

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #27242311 ← → #27242351

Radix Representation

Decimal	27242324
Binary	1100111111010111101010100 (25 bits)
Octal	0o147727524
Hexadecimal	0x19FAF54

Divisor Catalog (12)

1 2 4 967 1,934 3,868 7,043 14,086 28,172 6,810,581 13,621,162 27,242,324

Collatz Trajectory (180 steps to reach 1)

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

27,242,324 13,621,162 6,810,581 20,431,744 10,215,872 5,107,936 2,553,968 1,276,984 638,492 319,246 159,623 478,870 239,435 718,306 359,153 1,077,460 538,730 269,365 808,096 404,048 202,024 101,012 50,506 25,253 75,760 37,880 18,940 9,470 4,735 14,206 7,103 21,310 10,655 31,966 15,983 47,950 23,975 71,926 35,963 107,890 53,945 161,836 80,918 40,459 121,378 60,689 182,068 91,034 45,517 136,552 68,276 34,138 17,069 51,208 25,604 12,802 6,401 19,204 9,602 4,801

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