210,676

2² × 31 × 1699

210,676 factors as 2^2 × 31 × 1699. Its 12 positive divisors give a proper-divisor sum of 170,124, so this integer is deficient. The Collatz stopping time is 173 steps.

Prime Factor Structure

Factorization String 2^2 × 31 × 1699

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 380,800

Proper Divisor Sum 170,124

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #210671 ← → #210709

Radix Representation

Decimal	210676
Binary	110011011011110100 (18 bits)
Octal	0o633364
Hexadecimal	0x336F4

Divisor Catalog (12)

1 2 4 31 62 124 1,699 3,398 6,796 52,669 105,338 210,676

Collatz Trajectory (173 steps to reach 1)

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

210,676 105,338 52,669 158,008 79,004 39,502 19,751 59,254 29,627 88,882 44,441 133,324 66,662 33,331 99,994 49,997 149,992 74,996 37,498 18,749 56,248 28,124 14,062 7,031 21,094 10,547 31,642 15,821 47,464 23,732 11,866 5,933 17,800 8,900 4,450 2,225 6,676 3,338 1,669 5,008 2,504 1,252 626 313 940 470 235 706 353 1,060 530 265 796 398 199 598 299 898 449 1,348

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