27,597,508

2² × 131 × 52667

27,597,508 factors as 2^2 × 131 × 52667. Its 12 positive divisors give a proper-divisor sum of 21,067,724, so this integer is deficient. The Collatz stopping time is 193 steps.

Prime Factor Structure

Factorization String 2^2 × 131 × 52667

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 48,665,232

Proper Divisor Sum 21,067,724

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #27597503 ← → #27597509

Radix Representation

Decimal	27597508
Binary	1101001010001101011000100 (25 bits)
Octal	0o151215304
Hexadecimal	0x1A51AC4

Divisor Catalog (12)

1 2 4 131 262 524 52,667 105,334 210,668 6,899,377 13,798,754 27,597,508

Collatz Trajectory (193 steps to reach 1)

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

27,597,508 13,798,754 6,899,377 20,698,132 10,349,066 5,174,533 15,523,600 7,761,800 3,880,900 1,940,450 970,225 2,910,676 1,455,338 727,669 2,183,008 1,091,504 545,752 272,876 136,438 68,219 204,658 102,329 306,988 153,494 76,747 230,242 115,121 345,364 172,682 86,341 259,024 129,512 64,756 32,378 16,189 48,568 24,284 12,142 6,071 18,214 9,107 27,322 13,661 40,984 20,492 10,246 5,123 15,370 7,685 23,056 11,528 5,764 2,882 1,441 4,324 2,162 1,081 3,244 1,622 811

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