345,102

2 × 3 × 113 × 509

345,102 factors as 2 × 3 × 113 × 509. Its 16 positive divisors give a proper-divisor sum of 352,578, so this integer is abundant. The Collatz stopping time is 184 steps.

Prime Factor Structure

Factorization String 2 × 3 × 113 × 509

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 697,680

Proper Divisor Sum 352,578

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #345089 ← → #345109

Radix Representation

Decimal	345102
Binary	1010100010000001110 (19 bits)
Octal	0o1242016
Hexadecimal	0x5440E

Divisor Catalog (16)

1 2 3 6 113 226 339 509 678 1,018 1,527 3,054 57,517 115,034 172,551 345,102

Collatz Trajectory (184 steps to reach 1)

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

345,102 172,551 517,654 258,827 776,482 388,241 1,164,724 582,362 291,181 873,544 436,772 218,386 109,193 327,580 163,790 81,895 245,686 122,843 368,530 184,265 552,796 276,398 138,199 414,598 207,299 621,898 310,949 932,848 466,424 233,212 116,606 58,303 174,910 87,455 262,366 131,183 393,550 196,775 590,326 295,163 885,490 442,745 1,328,236 664,118 332,059 996,178 498,089 1,494,268 747,134 373,567 1,120,702 560,351 1,681,054 840,527 2,521,582 1,260,791 3,782,374 1,891,187 5,673,562 2,836,781

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