210,217

7 × 59 × 509

210,217 factors as 7 × 59 × 509. Its 8 positive divisors give a proper-divisor sum of 34,583, so this integer is deficient. The Collatz stopping time is 204 steps.

Prime Factor Structure

Factorization String 7 × 59 × 509

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 244,800

Proper Divisor Sum 34,583

Digit Sum / Digital Root 13 (Root: 4)

Adjacent Primes #210209 ← → #210229

Radix Representation

Decimal	210217
Binary	110011010100101001 (18 bits)
Octal	0o632451
Hexadecimal	0x33529

Divisor Catalog (8)

1 7 59 413 509 3,563 30,031 210,217

Collatz Trajectory (204 steps to reach 1)

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

210,217 630,652 315,326 157,663 472,990 236,495 709,486 354,743 1,064,230 532,115 1,596,346 798,173 2,394,520 1,197,260 598,630 299,315 897,946 448,973 1,346,920 673,460 336,730 168,365 505,096 252,548 126,274 63,137 189,412 94,706 47,353 142,060 71,030 35,515 106,546 53,273 159,820 79,910 39,955 119,866 59,933 179,800 89,900 44,950 22,475 67,426 33,713 101,140 50,570 25,285 75,856 37,928 18,964 9,482 4,741 14,224 7,112 3,556 1,778 889 2,668 1,334

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #210,216 Browse Full Index Next Integer #210,218 →