9,727,397

31 × 179 × 1753

9,727,397 factors as 31 × 179 × 1753. Its 8 positive divisors give a proper-divisor sum of 375,643, so this integer is deficient. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 31 × 179 × 1753

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 10,103,040

Proper Divisor Sum 375,643

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #9727391 ← → #9727427

Radix Representation

Decimal	9727397
Binary	100101000110110110100101 (24 bits)
Octal	0o45066645
Hexadecimal	0x946DA5

Divisor Catalog (8)

1 31 179 1,753 5,549 54,343 313,787 9,727,397

Collatz Trajectory (114 steps to reach 1)

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

9,727,397 29,182,192 14,591,096 7,295,548 3,647,774 1,823,887 5,471,662 2,735,831 8,207,494 4,103,747 12,311,242 6,155,621 18,466,864 9,233,432 4,616,716 2,308,358 1,154,179 3,462,538 1,731,269 5,193,808 2,596,904 1,298,452 649,226 324,613 973,840 486,920 243,460 121,730 60,865 182,596 91,298 45,649 136,948 68,474 34,237 102,712 51,356 25,678 12,839 38,518 19,259 57,778 28,889 86,668 43,334 21,667 65,002 32,501 97,504 48,752 24,376 12,188 6,094 3,047 9,142 4,571 13,714 6,857 20,572 10,286

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