698,003

17 × 19 × 2161

698,003 factors as 17 × 19 × 2161. Its 8 positive divisors give a proper-divisor sum of 80,317, so this integer is deficient. The Collatz stopping time is 167 steps.

Prime Factor Structure

Factorization String 17 × 19 × 2161

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 778,320

Proper Divisor Sum 80,317

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #697999 ← → #698017

Radix Representation

Decimal	698003
Binary	10101010011010010011 (20 bits)
Octal	0o2523223
Hexadecimal	0xAA693

Divisor Catalog (8)

1 17 19 323 2,161 36,737 41,059 698,003

Collatz Trajectory (167 steps to reach 1)

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

698,003 2,094,010 1,047,005 3,141,016 1,570,508 785,254 392,627 1,177,882 588,941 1,766,824 883,412 441,706 220,853 662,560 331,280 165,640 82,820 41,410 20,705 62,116 31,058 15,529 46,588 23,294 11,647 34,942 17,471 52,414 26,207 78,622 39,311 117,934 58,967 176,902 88,451 265,354 132,677 398,032 199,016 99,508 49,754 24,877 74,632 37,316 18,658 9,329 27,988 13,994 6,997 20,992 10,496 5,248 2,624 1,312 656 328 164 82 41 124

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