697,375

5³ × 7 × 797

697,375 factors as 5^3 × 7 × 797. Its 16 positive divisors give a proper-divisor sum of 298,529, so this integer is deficient. The Collatz stopping time is 136 steps.

Prime Factor Structure

Factorization String 5^3 × 7 × 797

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 995,904

Proper Divisor Sum 298,529

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #697373 ← → #697379

Radix Representation

Decimal	697375
Binary	10101010010000011111 (20 bits)
Octal	0o2522037
Hexadecimal	0xAA41F

Divisor Catalog (16)

1 5 7 25 35 125 175 797 875 3,985 5,579 19,925 27,895 99,625 139,475 697,375

Collatz Trajectory (136 steps to reach 1)

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

697,375 2,092,126 1,046,063 3,138,190 1,569,095 4,707,286 2,353,643 7,060,930 3,530,465 10,591,396 5,295,698 2,647,849 7,943,548 3,971,774 1,985,887 5,957,662 2,978,831 8,936,494 4,468,247 13,404,742 6,702,371 20,107,114 10,053,557 30,160,672 15,080,336 7,540,168 3,770,084 1,885,042 942,521 2,827,564 1,413,782 706,891 2,120,674 1,060,337 3,181,012 1,590,506 795,253 2,385,760 1,192,880 596,440 298,220 149,110 74,555 223,666 111,833 335,500 167,750 83,875 251,626 125,813 377,440 188,720 94,360 47,180 23,590 11,795 35,386 17,693 53,080 26,540

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