27,801

3² × 3089

27,801 factors as 3^2 × 3089. Its 6 positive divisors give a proper-divisor sum of 12,369, so this integer is deficient. The Collatz stopping time is 46 steps.

Prime Factor Structure

Factorization String 3^2 × 3089

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 40,170

Proper Divisor Sum 12,369

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #27799 ← → #27803

Radix Representation

Decimal	27801
Binary	110110010011001 (15 bits)
Octal	0o66231
Hexadecimal	0x6C99

Divisor Catalog (6)

1 3 9 3,089 9,267 27,801

Collatz Trajectory (46 steps to reach 1)

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

27,801 83,404 41,702 20,851 62,554 31,277 93,832 46,916 23,458 11,729 35,188 17,594 8,797 26,392 13,196 6,598 3,299 9,898 4,949 14,848 7,424 3,712 1,856 928 464 232 116 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #27,800 Browse Full Index Next Integer #27,802 →