λ
Sigma Notebook

273,333

3 × 179 × 509
Deficient Odd Composite

273,333 is odd and not a perfect square. Its factorization is 3 × 179 × 509 and its 8 divisors sum to 367,200.

Prime Factor Structure

Factorization String 3 × 179 × 509
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 367,200
Proper Divisor Sum 93,867
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #273323 ← → #273349

Radix Representation

Decimal 273333
Binary 1000010101110110101 (19 bits)
Octal 0o1025665
Hexadecimal 0x42BB5

Divisor Catalog (8)

1 3 179 509 537 1,527 91,111 273,333

Collatz Trajectory (83 steps to reach 1)

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

273,333 820,000 410,000 205,000 102,500 51,250 25,625 76,876 38,438 19,219 57,658 28,829 86,488 43,244 21,622 10,811 32,434 16,217 48,652 24,326 12,163 36,490 18,245 54,736 27,368 13,684 6,842 3,421 10,264 5,132 2,566 1,283 3,850 1,925 5,776 2,888 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49

More profiles

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