309,093

3 × 197 × 523

309,093 factors as 3 × 197 × 523. Its 8 positive divisors give a proper-divisor sum of 105,915, so this integer is deficient. The Collatz stopping time is 171 steps.

Prime Factor Structure

Factorization String 3 × 197 × 523

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 415,008

Proper Divisor Sum 105,915

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #309091 ← → #309107

Radix Representation

Decimal	309093
Binary	1001011011101100101 (19 bits)
Octal	0o1133545
Hexadecimal	0x4B765

Divisor Catalog (8)

1 3 197 523 591 1,569 103,031 309,093

Collatz Trajectory (171 steps to reach 1)

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

309,093 927,280 463,640 231,820 115,910 57,955 173,866 86,933 260,800 130,400 65,200 32,600 16,300 8,150 4,075 12,226 6,113 18,340 9,170 4,585 13,756 6,878 3,439 10,318 5,159 15,478 7,739 23,218 11,609 34,828 17,414 8,707 26,122 13,061 39,184 19,592 9,796 4,898 2,449 7,348 3,674 1,837 5,512 2,756 1,378 689 2,068 1,034 517 1,552 776 388 194 97 292 146 73 220 110 55

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