27,147,197

7 × 11² × 32051

27,147,197 factors as 7 × 11^2 × 32051. Its 12 positive divisors give a proper-divisor sum of 6,956,131, so this integer is deficient. The Collatz stopping time is 167 steps.

Prime Factor Structure

Factorization String 7 × 11^2 × 32051

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 34,103,328

Proper Divisor Sum 6,956,131

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #27147193 ← → #27147209

Radix Representation

Decimal	27147197
Binary	1100111100011101110111101 (25 bits)
Octal	0o147435675
Hexadecimal	0x19E3BBD

Divisor Catalog (12)

1 7 11 77 121 847 32,051 224,357 352,561 2,467,927 3,878,171 27,147,197

Collatz Trajectory (167 steps to reach 1)

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

27,147,197 81,441,592 40,720,796 20,360,398 10,180,199 30,540,598 15,270,299 45,810,898 22,905,449 68,716,348 34,358,174 17,179,087 51,537,262 25,768,631 77,305,894 38,652,947 115,958,842 57,979,421 173,938,264 86,969,132 43,484,566 21,742,283 65,226,850 32,613,425 97,840,276 48,920,138 24,460,069 73,380,208 36,690,104 18,345,052 9,172,526 4,586,263 13,758,790 6,879,395 20,638,186 10,319,093 30,957,280 15,478,640 7,739,320 3,869,660 1,934,830 967,415 2,902,246 1,451,123 4,353,370 2,176,685 6,530,056 3,265,028 1,632,514 816,257 2,448,772 1,224,386 612,193 1,836,580 918,290 459,145 1,377,436 688,718 344,359 1,033,078

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