λ
Sigma Notebook

323,980

22 × 5 × 97 × 167
Abundant Even Composite

323,980 is even and not a perfect square. Its factorization is 2^2 × 5 × 97 × 167 and its 24 divisors sum to 691,488.

Prime Factor Structure

Factorization String 2^2 × 5 × 97 × 167
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 691,488
Proper Divisor Sum 367,508
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #323957 ← → #323987

Radix Representation

Decimal 323980
Binary 1001111000110001100 (19 bits)
Octal 0o1170614
Hexadecimal 0x4F18C

Divisor Catalog (24)

1 2 4 5 10 20 97 167 194 334 388 485 668 835 970 1,670 1,940 3,340 16,199 32,398 64,796 80,995 161,990 323,980

Collatz Trajectory (184 steps to reach 1)

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

323,980 161,990 80,995 242,986 121,493 364,480 182,240 91,120 45,560 22,780 11,390 5,695 17,086 8,543 25,630 12,815 38,446 19,223 57,670 28,835 86,506 43,253 129,760 64,880 32,440 16,220 8,110 4,055 12,166 6,083 18,250 9,125 27,376 13,688 6,844 3,422 1,711 5,134 2,567 7,702 3,851 11,554 5,777 17,332 8,666 4,333 13,000 6,500 3,250 1,625 4,876 2,438 1,219 3,658 1,829 5,488 2,744 1,372 686 343

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