27,869

29 × 31²

27,869 factors as 29 × 31^2. Its 6 positive divisors give a proper-divisor sum of 1,921, so this integer is deficient. The Collatz stopping time is 90 steps.

Prime Factor Structure

Factorization String 29 × 31^2

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 29,790

Proper Divisor Sum 1,921

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #27851 ← → #27883

Radix Representation

Decimal	27869
Binary	110110011011101 (15 bits)
Octal	0o66335
Hexadecimal	0x6CDD

Divisor Catalog (6)

1 29 31 899 961 27,869

Collatz Trajectory (90 steps to reach 1)

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

27,869 83,608 41,804 20,902 10,451 31,354 15,677 47,032 23,516 11,758 5,879 17,638 8,819 26,458 13,229 39,688 19,844 9,922 4,961 14,884 7,442 3,721 11,164 5,582 2,791 8,374 4,187 12,562 6,281 18,844 9,422 4,711 14,134 7,067 21,202 10,601 31,804 15,902 7,951 23,854 11,927 35,782 17,891 53,674 26,837 80,512 40,256 20,128 10,064 5,032 2,516 1,258 629 1,888 944 472 236 118 59 178

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