27,288,075

3 × 5² × 363841

27,288,075 factors as 3 × 5^2 × 363841. Its 12 positive divisors give a proper-divisor sum of 17,828,333, so this integer is deficient. The Collatz stopping time is 118 steps.

Prime Factor Structure

Factorization String 3 × 5^2 × 363841

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 45,116,408

Proper Divisor Sum 17,828,333

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #27288067 ← → #27288089

Radix Representation

Decimal	27288075
Binary	1101000000110001000001011 (25 bits)
Octal	0o150061013
Hexadecimal	0x1A0620B

Divisor Catalog (12)

1 3 5 15 25 75 363,841 1,091,523 1,819,205 5,457,615 9,096,025 27,288,075

Collatz Trajectory (118 steps to reach 1)

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

27,288,075 81,864,226 40,932,113 122,796,340 61,398,170 30,699,085 92,097,256 46,048,628 23,024,314 11,512,157 34,536,472 17,268,236 8,634,118 4,317,059 12,951,178 6,475,589 19,426,768 9,713,384 4,856,692 2,428,346 1,214,173 3,642,520 1,821,260 910,630 455,315 1,365,946 682,973 2,048,920 1,024,460 512,230 256,115 768,346 384,173 1,152,520 576,260 288,130 144,065 432,196 216,098 108,049 324,148 162,074 81,037 243,112 121,556 60,778 30,389 91,168 45,584 22,792 11,396 5,698 2,849 8,548 4,274 2,137 6,412 3,206 1,603 4,810

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