293,337

3² × 11 × 2963

293,337 factors as 3^2 × 11 × 2963. Its 12 positive divisors give a proper-divisor sum of 169,047, so this integer is deficient. The Collatz stopping time is 96 steps.

Prime Factor Structure

Factorization String 3^2 × 11 × 2963

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 462,384

Proper Divisor Sum 169,047

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #293329 ← → #293339

Radix Representation

Decimal	293337
Binary	1000111100111011001 (19 bits)
Octal	0o1074731
Hexadecimal	0x479D9

Divisor Catalog (12)

1 3 9 11 33 99 2,963 8,889 26,667 32,593 97,779 293,337

Collatz Trajectory (96 steps to reach 1)

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

293,337 880,012 440,006 220,003 660,010 330,005 990,016 495,008 247,504 123,752 61,876 30,938 15,469 46,408 23,204 11,602 5,801 17,404 8,702 4,351 13,054 6,527 19,582 9,791 29,374 14,687 44,062 22,031 66,094 33,047 99,142 49,571 148,714 74,357 223,072 111,536 55,768 27,884 13,942 6,971 20,914 10,457 31,372 15,686 7,843 23,530 11,765 35,296 17,648 8,824 4,412 2,206 1,103 3,310 1,655 4,966 2,483 7,450 3,725 11,176

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