678,674

2 × 17 × 19961

678,674 factors as 2 × 17 × 19961. Its 8 positive divisors give a proper-divisor sum of 399,274, so this integer is deficient. The Collatz stopping time is 136 steps.

Prime Factor Structure

Factorization String 2 × 17 × 19961

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,077,948

Proper Divisor Sum 399,274

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #678659 ← → #678719

Radix Representation

Decimal	678674
Binary	10100101101100010010 (20 bits)
Octal	0o2455422
Hexadecimal	0xA5B12

Divisor Catalog (8)

1 2 17 34 19,961 39,922 339,337 678,674

Collatz Trajectory (136 steps to reach 1)

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

678,674 339,337 1,018,012 509,006 254,503 763,510 381,755 1,145,266 572,633 1,717,900 858,950 429,475 1,288,426 644,213 1,932,640 966,320 483,160 241,580 120,790 60,395 181,186 90,593 271,780 135,890 67,945 203,836 101,918 50,959 152,878 76,439 229,318 114,659 343,978 171,989 515,968 257,984 128,992 64,496 32,248 16,124 8,062 4,031 12,094 6,047 18,142 9,071 27,214 13,607 40,822 20,411 61,234 30,617 91,852 45,926 22,963 68,890 34,445 103,336 51,668 25,834

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