334,357

257 × 1301

334,357 factors as 257 × 1301. Its 4 positive divisors give a proper-divisor sum of 1,559, so this integer is deficient. The Collatz stopping time is 166 steps.

Prime Factor Structure

Factorization String 257 × 1301

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 335,916

Proper Divisor Sum 1,559

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #334349 ← → #334363

Radix Representation

Decimal	334357
Binary	1010001101000010101 (19 bits)
Octal	0o1215025
Hexadecimal	0x51A15

Divisor Catalog (4)

1 257 1,301 334,357

Collatz Trajectory (166 steps to reach 1)

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

334,357 1,003,072 501,536 250,768 125,384 62,692 31,346 15,673 47,020 23,510 11,755 35,266 17,633 52,900 26,450 13,225 39,676 19,838 9,919 29,758 14,879 44,638 22,319 66,958 33,479 100,438 50,219 150,658 75,329 225,988 112,994 56,497 169,492 84,746 42,373 127,120 63,560 31,780 15,890 7,945 23,836 11,918 5,959 17,878 8,939 26,818 13,409 40,228 20,114 10,057 30,172 15,086 7,543 22,630 11,315 33,946 16,973 50,920 25,460 12,730

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