348,124

2² × 7 × 12433

348,124 factors as 2^2 × 7 × 12433. Its 12 positive divisors give a proper-divisor sum of 348,180, so this integer is abundant. The Collatz stopping time is 73 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 12433

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 696,304

Proper Divisor Sum 348,180

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #348097 ← → #348149

Radix Representation

Decimal	348124
Binary	1010100111111011100 (19 bits)
Octal	0o1247734
Hexadecimal	0x54FDC

Divisor Catalog (12)

1 2 4 7 14 28 12,433 24,866 49,732 87,031 174,062 348,124

Collatz Trajectory (73 steps to reach 1)

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

348,124 174,062 87,031 261,094 130,547 391,642 195,821 587,464 293,732 146,866 73,433 220,300 110,150 55,075 165,226 82,613 247,840 123,920 61,960 30,980 15,490 7,745 23,236 11,618 5,809 17,428 8,714 4,357 13,072 6,536 3,268 1,634 817 2,452 1,226 613 1,840 920 460 230 115 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11

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