689,759

7 × 211 × 467

689,759 factors as 7 × 211 × 467. Its 8 positive divisors give a proper-divisor sum of 103,969, so this integer is deficient. The Collatz stopping time is 79 steps.

Prime Factor Structure

Factorization String 7 × 211 × 467

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 793,728

Proper Divisor Sum 103,969

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #689723 ← → #689761

Radix Representation

Decimal	689759
Binary	10101000011001011111 (20 bits)
Octal	0o2503137
Hexadecimal	0xA865F

Divisor Catalog (8)

1 7 211 467 1,477 3,269 98,537 689,759

Collatz Trajectory (79 steps to reach 1)

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

689,759 2,069,278 1,034,639 3,103,918 1,551,959 4,655,878 2,327,939 6,983,818 3,491,909 10,475,728 5,237,864 2,618,932 1,309,466 654,733 1,964,200 982,100 491,050 245,525 736,576 368,288 184,144 92,072 46,036 23,018 11,509 34,528 17,264 8,632 4,316 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122

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