314,307

3³ × 7 × 1663

314,307 factors as 3^3 × 7 × 1663. Its 16 positive divisors give a proper-divisor sum of 218,173, so this integer is deficient. The Collatz stopping time is 109 steps.

Prime Factor Structure

Factorization String 3^3 × 7 × 1663

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 532,480

Proper Divisor Sum 218,173

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #314299 ← → #314329

Radix Representation

Decimal	314307
Binary	1001100101111000011 (19 bits)
Octal	0o1145703
Hexadecimal	0x4CBC3

Divisor Catalog (16)

1 3 7 9 21 27 63 189 1,663 4,989 11,641 14,967 34,923 44,901 104,769 314,307

Collatz Trajectory (109 steps to reach 1)

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

314,307 942,922 471,461 1,414,384 707,192 353,596 176,798 88,399 265,198 132,599 397,798 198,899 596,698 298,349 895,048 447,524 223,762 111,881 335,644 167,822 83,911 251,734 125,867 377,602 188,801 566,404 283,202 141,601 424,804 212,402 106,201 318,604 159,302 79,651 238,954 119,477 358,432 179,216 89,608 44,804 22,402 11,201 33,604 16,802 8,401 25,204 12,602 6,301 18,904 9,452 4,726 2,363 7,090 3,545 10,636 5,318 2,659 7,978 3,989 11,968

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