700,117

11 × 63647

700,117 factors as 11 × 63647. Its 4 positive divisors give a proper-divisor sum of 63,659, so this integer is deficient. The Collatz stopping time is 105 steps.

Prime Factor Structure

Factorization String 11 × 63647

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 763,776

Proper Divisor Sum 63,659

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #700109 ← → #700127

Radix Representation

Decimal	700117
Binary	10101010111011010101 (20 bits)
Octal	0o2527325
Hexadecimal	0xAAED5

Divisor Catalog (4)

1 11 63,647 700,117

Collatz Trajectory (105 steps to reach 1)

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

700,117 2,100,352 1,050,176 525,088 262,544 131,272 65,636 32,818 16,409 49,228 24,614 12,307 36,922 18,461 55,384 27,692 13,846 6,923 20,770 10,385 31,156 15,578 7,789 23,368 11,684 5,842 2,921 8,764 4,382 2,191 6,574 3,287 9,862 4,931 14,794 7,397 22,192 11,096 5,548 2,774 1,387 4,162 2,081 6,244 3,122 1,561 4,684 2,342 1,171 3,514 1,757 5,272 2,636 1,318 659 1,978 989 2,968 1,484 742

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