λ
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322,500

22 × 3 × 54 × 43
Abundant Even Composite

322,500 factors as 2^2 × 3 × 5^4 × 43. Its 60 positive divisors give a proper-divisor sum of 639,692, so this integer is abundant. The Collatz stopping time is 91 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5^4 × 43
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 962,192
Proper Divisor Sum 639,692
Digit Sum / Digital Root 12 (Root: 3)
Adjacent Primes #322463 ← → #322501

Radix Representation

Decimal 322500
Binary 1001110101111000100 (19 bits)
Octal 0o1165704
Hexadecimal 0x4EBC4

Divisor Catalog (60)

1 2 3 4 5 6 10 12 15 20 25 30 43 50 60 75 86 100 125 129 150 172 215 250 258 300 375 430 500 516 625 645 750 860 1,075 1,250 1,290 1,500 1,875 2,150 2,500 2,580 3,225 3,750 4,300 5,375 6,450 7,500 10,750 12,900 16,125 21,500 26,875 32,250 53,750 64,500 80,625 107,500 161,250 322,500

Collatz Trajectory (91 steps to reach 1)

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

322,500 161,250 80,625 241,876 120,938 60,469 181,408 90,704 45,352 22,676 11,338 5,669 17,008 8,504 4,252 2,126 1,063 3,190 1,595 4,786 2,393 7,180 3,590 1,795 5,386 2,693 8,080 4,040 2,020 1,010 505 1,516 758 379 1,138 569 1,708 854 427 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344

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