700,983

3² × 71 × 1097

700,983 factors as 3^2 × 71 × 1097. Its 12 positive divisors give a proper-divisor sum of 326,745, so this integer is deficient. The Collatz stopping time is 105 steps.

Prime Factor Structure

Factorization String 3^2 × 71 × 1097

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,027,728

Proper Divisor Sum 326,745

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #700963 ← → #700993

Radix Representation

Decimal	700983
Binary	10101011001000110111 (20 bits)
Octal	0o2531067
Hexadecimal	0xAB237

Divisor Catalog (12)

1 3 9 71 213 639 1,097 3,291 9,873 77,887 233,661 700,983

Collatz Trajectory (105 steps to reach 1)

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

700,983 2,102,950 1,051,475 3,154,426 1,577,213 4,731,640 2,365,820 1,182,910 591,455 1,774,366 887,183 2,661,550 1,330,775 3,992,326 1,996,163 5,988,490 2,994,245 8,982,736 4,491,368 2,245,684 1,122,842 561,421 1,684,264 842,132 421,066 210,533 631,600 315,800 157,900 78,950 39,475 118,426 59,213 177,640 88,820 44,410 22,205 66,616 33,308 16,654 8,327 24,982 12,491 37,474 18,737 56,212 28,106 14,053 42,160 21,080 10,540 5,270 2,635 7,906 3,953 11,860 5,930 2,965 8,896 4,448

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