312,265

5 × 19² × 173

312,265 factors as 5 × 19^2 × 173. Its 12 positive divisors give a proper-divisor sum of 85,499, so this integer is deficient. The Collatz stopping time is 158 steps.

Prime Factor Structure

Factorization String 5 × 19^2 × 173

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 397,764

Proper Divisor Sum 85,499

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #312253 ← → #312269

Radix Representation

Decimal	312265
Binary	1001100001111001001 (19 bits)
Octal	0o1141711
Hexadecimal	0x4C3C9

Divisor Catalog (12)

1 5 19 95 173 361 865 1,805 3,287 16,435 62,453 312,265

Collatz Trajectory (158 steps to reach 1)

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

312,265 936,796 468,398 234,199 702,598 351,299 1,053,898 526,949 1,580,848 790,424 395,212 197,606 98,803 296,410 148,205 444,616 222,308 111,154 55,577 166,732 83,366 41,683 125,050 62,525 187,576 93,788 46,894 23,447 70,342 35,171 105,514 52,757 158,272 79,136 39,568 19,784 9,892 4,946 2,473 7,420 3,710 1,855 5,566 2,783 8,350 4,175 12,526 6,263 18,790 9,395 28,186 14,093 42,280 21,140 10,570 5,285 15,856 7,928 3,964 1,982

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