682,225

5² × 29 × 941

682,225 factors as 5^2 × 29 × 941. Its 12 positive divisors give a proper-divisor sum of 193,835, so this integer is deficient. The Collatz stopping time is 105 steps.

Prime Factor Structure

Factorization String 5^2 × 29 × 941

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 876,060

Proper Divisor Sum 193,835

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #682219 ← → #682229

Radix Representation

Decimal	682225
Binary	10100110100011110001 (20 bits)
Octal	0o2464361
Hexadecimal	0xA68F1

Divisor Catalog (12)

1 5 25 29 145 725 941 4,705 23,525 27,289 136,445 682,225

Collatz Trajectory (105 steps to reach 1)

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

682,225 2,046,676 1,023,338 511,669 1,535,008 767,504 383,752 191,876 95,938 47,969 143,908 71,954 35,977 107,932 53,966 26,983 80,950 40,475 121,426 60,713 182,140 91,070 45,535 136,606 68,303 204,910 102,455 307,366 153,683 461,050 230,525 691,576 345,788 172,894 86,447 259,342 129,671 389,014 194,507 583,522 291,761 875,284 437,642 218,821 656,464 328,232 164,116 82,058 41,029 123,088 61,544 30,772 15,386 7,693 23,080 11,540 5,770 2,885 8,656 4,328

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