9,727,686

2 × 3² × 277 × 1951

9,727,686 factors as 2 × 3^2 × 277 × 1951. Its 24 positive divisors give a proper-divisor sum of 11,435,898, so this integer is abundant. The Collatz stopping time is 62 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 277 × 1951

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 21,163,584

Proper Divisor Sum 11,435,898

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #9727681 ← → #9727687

Radix Representation

Decimal	9727686
Binary	100101000110111011000110 (24 bits)
Octal	0o45067306
Hexadecimal	0x946EC6

Divisor Catalog (24)

Collatz Trajectory (62 steps to reach 1)

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

9,727,686 4,863,843 14,591,530 7,295,765 21,887,296 10,943,648 5,471,824 2,735,912 1,367,956 683,978 341,989 1,025,968 512,984 256,492 128,246 64,123 192,370 96,185 288,556 144,278 72,139 216,418 108,209 324,628 162,314 81,157 243,472 121,736 60,868 30,434 15,217 45,652 22,826 11,413 34,240 17,120 8,560 4,280 2,140 1,070 535 1,606 803 2,410 1,205 3,616 1,808 904 452 226 113 340 170 85 256 128 64 32 16 8

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