9,727,288

2³ × 43 × 28277

9,727,288 factors as 2^3 × 43 × 28277. Its 16 positive divisors give a proper-divisor sum of 8,936,192, so this integer is deficient. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 2^3 × 43 × 28277

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 18,663,480

Proper Divisor Sum 8,936,192

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #9727283 ← → #9727303

Radix Representation

Decimal	9727288
Binary	100101000110110100111000 (24 bits)
Octal	0o45066470
Hexadecimal	0x946D38

Divisor Catalog (16)

1 2 4 8 43 86 172 344 28,277 56,554 113,108 226,216 1,215,911 2,431,822 4,863,644 9,727,288

Collatz Trajectory (114 steps to reach 1)

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

9,727,288 4,863,644 2,431,822 1,215,911 3,647,734 1,823,867 5,471,602 2,735,801 8,207,404 4,103,702 2,051,851 6,155,554 3,077,777 9,233,332 4,616,666 2,308,333 6,925,000 3,462,500 1,731,250 865,625 2,596,876 1,298,438 649,219 1,947,658 973,829 2,921,488 1,460,744 730,372 365,186 182,593 547,780 273,890 136,945 410,836 205,418 102,709 308,128 154,064 77,032 38,516 19,258 9,629 28,888 14,444 7,222 3,611 10,834 5,417 16,252 8,126 4,063 12,190 6,095 18,286 9,143 27,430 13,715 41,146 20,573 61,720

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