344,898

2 × 3⁴ × 2129

344,898 factors as 2 × 3^4 × 2129. Its 20 positive divisors give a proper-divisor sum of 428,292, so this integer is abundant. The Collatz stopping time is 91 steps.

Prime Factor Structure

Factorization String 2 × 3^4 × 2129

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 773,190

Proper Divisor Sum 428,292

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #344893 ← → #344909

Radix Representation

Decimal	344898
Binary	1010100001101000010 (19 bits)
Octal	0o1241502
Hexadecimal	0x54342

Divisor Catalog (20)

1 2 3 6 9 18 27 54 81 162 2,129 4,258 6,387 12,774 19,161 38,322 57,483 114,966 172,449 344,898

Collatz Trajectory (91 steps to reach 1)

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

344,898 172,449 517,348 258,674 129,337 388,012 194,006 97,003 291,010 145,505 436,516 218,258 109,129 327,388 163,694 81,847 245,542 122,771 368,314 184,157 552,472 276,236 138,118 69,059 207,178 103,589 310,768 155,384 77,692 38,846 19,423 58,270 29,135 87,406 43,703 131,110 65,555 196,666 98,333 295,000 147,500 73,750 36,875 110,626 55,313 165,940 82,970 41,485 124,456 62,228 31,114 15,557 46,672 23,336 11,668 5,834 2,917 8,752 4,376 2,188

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