297,999

3⁴ × 13 × 283

297,999 factors as 3^4 × 13 × 283. Its 20 positive divisors give a proper-divisor sum of 183,097, so this integer is deficient. The Collatz stopping time is 96 steps.

Prime Factor Structure

Factorization String 3^4 × 13 × 283

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 481,096

Proper Divisor Sum 183,097

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #297991 ← → #298013

Radix Representation

Decimal	297999
Binary	1001000110000001111 (19 bits)
Octal	0o1106017
Hexadecimal	0x48C0F

Divisor Catalog (20)

1 3 9 13 27 39 81 117 283 351 849 1,053 2,547 3,679 7,641 11,037 22,923 33,111 99,333 297,999

Collatz Trajectory (96 steps to reach 1)

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

297,999 893,998 446,999 1,340,998 670,499 2,011,498 1,005,749 3,017,248 1,508,624 754,312 377,156 188,578 94,289 282,868 141,434 70,717 212,152 106,076 53,038 26,519 79,558 39,779 119,338 59,669 179,008 89,504 44,752 22,376 11,188 5,594 2,797 8,392 4,196 2,098 1,049 3,148 1,574 787 2,362 1,181 3,544 1,772 886 443 1,330 665 1,996 998 499 1,498 749 2,248 1,124 562 281 844 422 211 634 317

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