27,879

3 × 9293

27,879 factors as 3 × 9293. Its 4 positive divisors give a proper-divisor sum of 9,297, so this integer is deficient. The Collatz stopping time is 134 steps.

Prime Factor Structure

Factorization String 3 × 9293

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 37,176

Proper Divisor Sum 9,297

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #27851 ← → #27883

Radix Representation

Decimal	27879
Binary	110110011100111 (15 bits)
Octal	0o66347
Hexadecimal	0x6CE7

Divisor Catalog (4)

1 3 9,293 27,879

Collatz Trajectory (134 steps to reach 1)

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

27,879 83,638 41,819 125,458 62,729 188,188 94,094 47,047 141,142 70,571 211,714 105,857 317,572 158,786 79,393 238,180 119,090 59,545 178,636 89,318 44,659 133,978 66,989 200,968 100,484 50,242 25,121 75,364 37,682 18,841 56,524 28,262 14,131 42,394 21,197 63,592 31,796 15,898 7,949 23,848 11,924 5,962 2,981 8,944 4,472 2,236 1,118 559 1,678 839 2,518 1,259 3,778 1,889 5,668 2,834 1,417 4,252 2,126 1,063

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