27,945,040

2⁴ × 5 × 349313

27,945,040 factors as 2^4 × 5 × 349313. Its 20 positive divisors give a proper-divisor sum of 37,027,364, so this integer is abundant. The Collatz stopping time is 87 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 349313

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 64,972,404

Proper Divisor Sum 37,027,364

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #27945037 ← → #27945053

Radix Representation

Decimal	27945040
Binary	1101010100110100001010000 (25 bits)
Octal	0o152464120
Hexadecimal	0x1AA6850

Divisor Catalog (20)

Collatz Trajectory (87 steps to reach 1)

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

27,945,040 13,972,520 6,986,260 3,493,130 1,746,565 5,239,696 2,619,848 1,309,924 654,962 327,481 982,444 491,222 245,611 736,834 368,417 1,105,252 552,626 276,313 828,940 414,470 207,235 621,706 310,853 932,560 466,280 233,140 116,570 58,285 174,856 87,428 43,714 21,857 65,572 32,786 16,393 49,180 24,590 12,295 36,886 18,443 55,330 27,665 82,996 41,498 20,749 62,248 31,124 15,562 7,781 23,344 11,672 5,836 2,918 1,459 4,378 2,189 6,568 3,284 1,642 821

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