348,194

2 × 7² × 11 × 17 × 19

348,194 has digital root 2. The neighboring primes are 348191 and 348209; its proper-divisor sum differs from the starting integer by 42,332.

Prime Factor Structure

Factorization String 2 × 7^2 × 11 × 17 × 19

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 738,720

Proper Divisor Sum 390,526

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #348191 ← → #348209

Radix Representation

Decimal	348194
Binary	1010101000000100010 (19 bits)
Octal	0o1250042
Hexadecimal	0x55022

Divisor Catalog (48)

1 2 7 11 14 17 19 22 34 38 49 77 98 119 133 154 187 209 238 266 323 374 418 539 646 833 931 1,078 1,309 1,463 1,666 1,862 2,261 2,618 2,926 3,553 4,522 7,106 9,163 10,241 15,827 18,326 20,482 24,871 31,654 49,742 174,097 348,194

Collatz Trajectory (73 steps to reach 1)

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

348,194 174,097 522,292 261,146 130,573 391,720 195,860 97,930 48,965 146,896 73,448 36,724 18,362 9,181 27,544 13,772 6,886 3,443 10,330 5,165 15,496 7,748 3,874 1,937 5,812 2,906 1,453 4,360 2,180 1,090 545 1,636 818 409 1,228 614 307 922 461 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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