706,965

3 × 5 × 7 × 6733

706,965 factors as 3 × 5 × 7 × 6733. Its 16 positive divisors give a proper-divisor sum of 585,963, so this integer is deficient. The Collatz stopping time is 74 steps.

Prime Factor Structure

Factorization String 3 × 5 × 7 × 6733

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,292,928

Proper Divisor Sum 585,963

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #706961 ← → #706973

Radix Representation

Decimal	706965
Binary	10101100100110010101 (20 bits)
Octal	0o2544625
Hexadecimal	0xAC995

Divisor Catalog (16)

1 3 5 7 15 21 35 105 6,733 20,199 33,665 47,131 100,995 141,393 235,655 706,965

Collatz Trajectory (74 steps to reach 1)

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

706,965 2,120,896 1,060,448 530,224 265,112 132,556 66,278 33,139 99,418 49,709 149,128 74,564 37,282 18,641 55,924 27,962 13,981 41,944 20,972 10,486 5,243 15,730 7,865 23,596 11,798 5,899 17,698 8,849 26,548 13,274 6,637 19,912 9,956 4,978 2,489 7,468 3,734 1,867 5,602 2,801 8,404 4,202 2,101 6,304 3,152 1,576 788 394 197 592 296 148 74 37 112 56 28 14 7 22

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