16,983

3³ × 17 × 37

16,983 factors as 3^3 × 17 × 37. Its 16 positive divisors give a proper-divisor sum of 10,377, so this integer is deficient. The Collatz stopping time is 110 steps.

Prime Factor Structure

Factorization String 3^3 × 17 × 37

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 27,360

Proper Divisor Sum 10,377

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #16981 ← → #16987

Radix Representation

Decimal	16983
Binary	100001001010111 (15 bits)
Octal	0o41127
Hexadecimal	0x4257

Divisor Catalog (16)

1 3 9 17 27 37 51 111 153 333 459 629 999 1,887 5,661 16,983

Collatz Trajectory (110 steps to reach 1)

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

16,983 50,950 25,475 76,426 38,213 114,640 57,320 28,660 14,330 7,165 21,496 10,748 5,374 2,687 8,062 4,031 12,094 6,047 18,142 9,071 27,214 13,607 40,822 20,411 61,234 30,617 91,852 45,926 22,963 68,890 34,445 103,336 51,668 25,834 12,917 38,752 19,376 9,688 4,844 2,422 1,211 3,634 1,817 5,452 2,726 1,363 4,090 2,045 6,136 3,068 1,534 767 2,302 1,151 3,454 1,727 5,182 2,591 7,774 3,887

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #16,982 Browse Full Index Next Integer #16,984 →