27,824,470

2 × 5 × 47 × 53 × 1117

27,824,470 factors as 2 × 5 × 47 × 53 × 1117. Its 32 positive divisors give a proper-divisor sum of 24,336,938, so this integer is deficient. The Collatz stopping time is 136 steps.

Prime Factor Structure

Factorization String 2 × 5 × 47 × 53 × 1117

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 52,161,408

Proper Divisor Sum 24,336,938

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #27824431 ← → #27824491

Radix Representation

Decimal	27824470
Binary	1101010001001000101010110 (25 bits)
Octal	0o152110526
Hexadecimal	0x1A89156

Divisor Catalog (32)

Collatz Trajectory (136 steps to reach 1)

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

27,824,470 13,912,235 41,736,706 20,868,353 62,605,060 31,302,530 15,651,265 46,953,796 23,476,898 11,738,449 35,215,348 17,607,674 8,803,837 26,411,512 13,205,756 6,602,878 3,301,439 9,904,318 4,952,159 14,856,478 7,428,239 22,284,718 11,142,359 33,427,078 16,713,539 50,140,618 25,070,309 75,210,928 37,605,464 18,802,732 9,401,366 4,700,683 14,102,050 7,051,025 21,153,076 10,576,538 5,288,269 15,864,808 7,932,404 3,966,202 1,983,101 5,949,304 2,974,652 1,487,326 743,663 2,230,990 1,115,495 3,346,486 1,673,243 5,019,730 2,509,865 7,529,596 3,764,798 1,882,399 5,647,198 2,823,599 8,470,798 4,235,399 12,706,198 6,353,099

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