8,552,007

3³ × 383 × 827

8,552,007 factors as 3^3 × 383 × 827. Its 16 positive divisors give a proper-divisor sum of 4,166,073, so this integer is deficient. The Collatz stopping time is 150 steps.

Prime Factor Structure

Factorization String 3^3 × 383 × 827

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 12,718,080

Proper Divisor Sum 4,166,073

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #8551997 ← → #8552039

Radix Representation

Decimal	8552007
Binary	100000100111111001000111 (24 bits)
Octal	0o40477107
Hexadecimal	0x827E47

Divisor Catalog (16)

1 3 9 27 383 827 1,149 2,481 3,447 7,443 10,341 22,329 316,741 950,223 2,850,669 8,552,007

Collatz Trajectory (150 steps to reach 1)

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

8,552,007 25,656,022 12,828,011 38,484,034 19,242,017 57,726,052 28,863,026 14,431,513 43,294,540 21,647,270 10,823,635 32,470,906 16,235,453 48,706,360 24,353,180 12,176,590 6,088,295 18,264,886 9,132,443 27,397,330 13,698,665 41,095,996 20,547,998 10,273,999 30,821,998 15,410,999 46,232,998 23,116,499 69,349,498 34,674,749 104,024,248 52,012,124 26,006,062 13,003,031 39,009,094 19,504,547 58,513,642 29,256,821 87,770,464 43,885,232 21,942,616 10,971,308 5,485,654 2,742,827 8,228,482 4,114,241 12,342,724 6,171,362 3,085,681 9,257,044 4,628,522 2,314,261 6,942,784 3,471,392 1,735,696 867,848 433,924 216,962 108,481 325,444

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