327,987

3² × 11 × 3313

327,987 factors as 3^2 × 11 × 3313. Its 12 positive divisors give a proper-divisor sum of 188,997, so this integer is deficient. The Collatz stopping time is 184 steps.

Prime Factor Structure

Factorization String 3^2 × 11 × 3313

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 516,984

Proper Divisor Sum 188,997

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #327983 ← → #328007

Radix Representation

Decimal	327987
Binary	1010000000100110011 (19 bits)
Octal	0o1200463
Hexadecimal	0x50133

Divisor Catalog (12)

1 3 9 11 33 99 3,313 9,939 29,817 36,443 109,329 327,987

Collatz Trajectory (184 steps to reach 1)

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

327,987 983,962 491,981 1,475,944 737,972 368,986 184,493 553,480 276,740 138,370 69,185 207,556 103,778 51,889 155,668 77,834 38,917 116,752 58,376 29,188 14,594 7,297 21,892 10,946 5,473 16,420 8,210 4,105 12,316 6,158 3,079 9,238 4,619 13,858 6,929 20,788 10,394 5,197 15,592 7,796 3,898 1,949 5,848 2,924 1,462 731 2,194 1,097 3,292 1,646 823 2,470 1,235 3,706 1,853 5,560 2,780 1,390 695 2,086

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #327,986 Browse Full Index Next Integer #327,988 →