627,892

2² × 79 × 1987

627,892 factors as 2^2 × 79 × 1987. Its 12 positive divisors give a proper-divisor sum of 485,388, so this integer is deficient. The Collatz stopping time is 172 steps.

Prime Factor Structure

Factorization String 2^2 × 79 × 1987

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,113,280

Proper Divisor Sum 485,388

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #627859 ← → #627901

Radix Representation

Decimal	627892
Binary	10011001010010110100 (20 bits)
Octal	0o2312264
Hexadecimal	0x994B4

Divisor Catalog (12)

1 2 4 79 158 316 1,987 3,974 7,948 156,973 313,946 627,892

Collatz Trajectory (172 steps to reach 1)

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

627,892 313,946 156,973 470,920 235,460 117,730 58,865 176,596 88,298 44,149 132,448 66,224 33,112 16,556 8,278 4,139 12,418 6,209 18,628 9,314 4,657 13,972 6,986 3,493 10,480 5,240 2,620 1,310 655 1,966 983 2,950 1,475 4,426 2,213 6,640 3,320 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108 3,554 1,777 5,332 2,666 1,333 4,000

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