706,381

13 × 67 × 811

706,381 factors as 13 × 67 × 811. Its 8 positive divisors give a proper-divisor sum of 66,643, so this integer is deficient. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 13 × 67 × 811

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 773,024

Proper Divisor Sum 66,643

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #706373 ← → #706403

Radix Representation

Decimal	706381
Binary	10101100011101001101 (20 bits)
Octal	0o2543515
Hexadecimal	0xAC74D

Divisor Catalog (8)

1 13 67 811 871 10,543 54,337 706,381

Collatz Trajectory (123 steps to reach 1)

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

706,381 2,119,144 1,059,572 529,786 264,893 794,680 397,340 198,670 99,335 298,006 149,003 447,010 223,505 670,516 335,258 167,629 502,888 251,444 125,722 62,861 188,584 94,292 47,146 23,573 70,720 35,360 17,680 8,840 4,420 2,210 1,105 3,316 1,658 829 2,488 1,244 622 311 934 467 1,402 701 2,104 1,052 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754

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