27,066,295

5 × 17² × 18731

27,066,295 factors as 5 × 17^2 × 18731. Its 12 positive divisors give a proper-divisor sum of 7,438,049, so this integer is deficient. The Collatz stopping time is 110 steps.

Prime Factor Structure

Factorization String 5 × 17^2 × 18731

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 34,504,344

Proper Divisor Sum 7,438,049

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #27066293 ← → #27066323

Radix Representation

Decimal	27066295
Binary	1100111001111111110110111 (25 bits)
Octal	0o147177667
Hexadecimal	0x19CFFB7

Divisor Catalog (12)

1 5 17 85 289 1,445 18,731 93,655 318,427 1,592,135 5,413,259 27,066,295

Collatz Trajectory (110 steps to reach 1)

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

27,066,295 81,198,886 40,599,443 121,798,330 60,899,165 182,697,496 91,348,748 45,674,374 22,837,187 68,511,562 34,255,781 102,767,344 51,383,672 25,691,836 12,845,918 6,422,959 19,268,878 9,634,439 28,903,318 14,451,659 43,354,978 21,677,489 65,032,468 32,516,234 16,258,117 48,774,352 24,387,176 12,193,588 6,096,794 3,048,397 9,145,192 4,572,596 2,286,298 1,143,149 3,429,448 1,714,724 857,362 428,681 1,286,044 643,022 321,511 964,534 482,267 1,446,802 723,401 2,170,204 1,085,102 542,551 1,627,654 813,827 2,441,482 1,220,741 3,662,224 1,831,112 915,556 457,778 228,889 686,668 343,334 171,667

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