349,263

3² × 151 × 257

349,263 factors as 3^2 × 151 × 257. Its 12 positive divisors give a proper-divisor sum of 160,545, so this integer is deficient. The Collatz stopping time is 73 steps.

Prime Factor Structure

Factorization String 3^2 × 151 × 257

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 509,808

Proper Divisor Sum 160,545

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #349241 ← → #349291

Radix Representation

Decimal	349263
Binary	1010101010001001111 (19 bits)
Octal	0o1252117
Hexadecimal	0x5544F

Divisor Catalog (12)

1 3 9 151 257 453 771 1,359 2,313 38,807 116,421 349,263

Collatz Trajectory (73 steps to reach 1)

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

349,263 1,047,790 523,895 1,571,686 785,843 2,357,530 1,178,765 3,536,296 1,768,148 884,074 442,037 1,326,112 663,056 331,528 165,764 82,882 41,441 124,324 62,162 31,081 93,244 46,622 23,311 69,934 34,967 104,902 52,451 157,354 78,677 236,032 118,016 59,008 29,504 14,752 7,376 3,688 1,844 922 461 1,384 692 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11

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