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8,723,907

32 × 17 × 19 × 3001
Deficient Odd Composite

8,723,907 factors as 3^2 × 17 × 19 × 3001. Its 24 positive divisors give a proper-divisor sum of 5,325,453, so this integer is deficient. The Collatz stopping time is 243 steps.

Prime Factor Structure

Factorization String 3^2 × 17 × 19 × 3001
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 14,049,360
Proper Divisor Sum 5,325,453
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #8723903 ← → #8723909

Radix Representation

Decimal 8723907
Binary 100001010001110111000011 (24 bits)
Octal 0o41216703
Hexadecimal 0x851DC3

Divisor Catalog (24)

1 3 9 17 19 51 57 153 171 323 969 2,907 3,001 9,003 27,009 51,017 57,019 153,051 171,057 459,153 513,171 969,323 2,907,969 8,723,907

Collatz Trajectory (243 steps to reach 1)

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

8,723,907 26,171,722 13,085,861 39,257,584 19,628,792 9,814,396 4,907,198 2,453,599 7,360,798 3,680,399 11,041,198 5,520,599 16,561,798 8,280,899 24,842,698 12,421,349 37,264,048 18,632,024 9,316,012 4,658,006 2,329,003 6,987,010 3,493,505 10,480,516 5,240,258 2,620,129 7,860,388 3,930,194 1,965,097 5,895,292 2,947,646 1,473,823 4,421,470 2,210,735 6,632,206 3,316,103 9,948,310 4,974,155 14,922,466 7,461,233 22,383,700 11,191,850 5,595,925 16,787,776 8,393,888 4,196,944 2,098,472 1,049,236 524,618 262,309 786,928 393,464 196,732 98,366 49,183 147,550 73,775 221,326 110,663 331,990

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