344,834

2 × 7 × 24631

344,834 factors as 2 × 7 × 24631. Its 8 positive divisors give a proper-divisor sum of 246,334, so this integer is deficient. The Collatz stopping time is 153 steps.

Prime Factor Structure

Factorization String 2 × 7 × 24631

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 591,168

Proper Divisor Sum 246,334

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #344821 ← → #344843

Radix Representation

Decimal	344834
Binary	1010100001100000010 (19 bits)
Octal	0o1241402
Hexadecimal	0x54302

Divisor Catalog (8)

1 2 7 14 24,631 49,262 172,417 344,834

Collatz Trajectory (153 steps to reach 1)

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

344,834 172,417 517,252 258,626 129,313 387,940 193,970 96,985 290,956 145,478 72,739 218,218 109,109 327,328 163,664 81,832 40,916 20,458 10,229 30,688 15,344 7,672 3,836 1,918 959 2,878 1,439 4,318 2,159 6,478 3,239 9,718 4,859 14,578 7,289 21,868 10,934 5,467 16,402 8,201 24,604 12,302 6,151 18,454 9,227 27,682 13,841 41,524 20,762 10,381 31,144 15,572 7,786 3,893 11,680 5,840 2,920 1,460 730 365

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