27,001,025

5² × 239 × 4519

27,001,025 factors as 5^2 × 239 × 4519. Its 12 positive divisors give a proper-divisor sum of 6,627,775, so this integer is deficient. The Collatz stopping time is 255 steps.

Prime Factor Structure

Factorization String 5^2 × 239 × 4519

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 33,628,800

Proper Divisor Sum 6,627,775

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #27001019 ← → #27001027

Radix Representation

Decimal	27001025
Binary	1100111000000000011000001 (25 bits)
Octal	0o147000301
Hexadecimal	0x19C00C1

Divisor Catalog (12)

1 5 25 239 1,195 4,519 5,975 22,595 112,975 1,080,041 5,400,205 27,001,025

Collatz Trajectory (255 steps to reach 1)

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

27,001,025 81,003,076 40,501,538 20,250,769 60,752,308 30,376,154 15,188,077 45,564,232 22,782,116 11,391,058 5,695,529 17,086,588 8,543,294 4,271,647 12,814,942 6,407,471 19,222,414 9,611,207 28,833,622 14,416,811 43,250,434 21,625,217 64,875,652 32,437,826 16,218,913 48,656,740 24,328,370 12,164,185 36,492,556 18,246,278 9,123,139 27,369,418 13,684,709 41,054,128 20,527,064 10,263,532 5,131,766 2,565,883 7,697,650 3,848,825 11,546,476 5,773,238 2,886,619 8,659,858 4,329,929 12,989,788 6,494,894 3,247,447 9,742,342 4,871,171 14,613,514 7,306,757 21,920,272 10,960,136 5,480,068 2,740,034 1,370,017 4,110,052 2,055,026 1,027,513

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