27,049,336

2³ × 193 × 17519

27,049,336 factors as 2^3 × 193 × 17519. Its 16 positive divisors give a proper-divisor sum of 23,933,864, so this integer is deficient. The Collatz stopping time is 136 steps.

Prime Factor Structure

Factorization String 2^3 × 193 × 17519

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 50,983,200

Proper Divisor Sum 23,933,864

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #27049313 ← → #27049339

Radix Representation

Decimal	27049336
Binary	1100111001011110101111000 (25 bits)
Octal	0o147136570
Hexadecimal	0x19CBD78

Divisor Catalog (16)

1 2 4 8 193 386 772 1,544 17,519 35,038 70,076 140,152 3,381,167 6,762,334 13,524,668 27,049,336

Collatz Trajectory (136 steps to reach 1)

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

27,049,336 13,524,668 6,762,334 3,381,167 10,143,502 5,071,751 15,215,254 7,607,627 22,822,882 11,411,441 34,234,324 17,117,162 8,558,581 25,675,744 12,837,872 6,418,936 3,209,468 1,604,734 802,367 2,407,102 1,203,551 3,610,654 1,805,327 5,415,982 2,707,991 8,123,974 4,061,987 12,185,962 6,092,981 18,278,944 9,139,472 4,569,736 2,284,868 1,142,434 571,217 1,713,652 856,826 428,413 1,285,240 642,620 321,310 160,655 481,966 240,983 722,950 361,475 1,084,426 542,213 1,626,640 813,320 406,660 203,330 101,665 304,996 152,498 76,249 228,748 114,374 57,187 171,562

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