273,249

3² × 97 × 313

For 273,249, the 12 positive divisors have a total of 400,036. Removing 273,249 leaves 126,787, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^2 × 97 × 313

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 400,036

Proper Divisor Sum 126,787

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #273233 ← → #273253

Radix Representation

Decimal	273249
Binary	1000010101101100001 (19 bits)
Octal	0o1025541
Hexadecimal	0x42B61

Divisor Catalog (12)

1 3 9 97 291 313 873 939 2,817 30,361 91,083 273,249

Collatz Trajectory (269 steps to reach 1)

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

273,249 819,748 409,874 204,937 614,812 307,406 153,703 461,110 230,555 691,666 345,833 1,037,500 518,750 259,375 778,126 389,063 1,167,190 583,595 1,750,786 875,393 2,626,180 1,313,090 656,545 1,969,636 984,818 492,409 1,477,228 738,614 369,307 1,107,922 553,961 1,661,884 830,942 415,471 1,246,414 623,207 1,869,622 934,811 2,804,434 1,402,217 4,206,652 2,103,326 1,051,663 3,154,990 1,577,495 4,732,486 2,366,243 7,098,730 3,549,365 10,648,096 5,324,048 2,662,024 1,331,012 665,506 332,753 998,260 499,130 249,565 748,696 374,348

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