2,007,751

17 × 89 × 1327

2,007,751 factors as 17 × 89 × 1327. Its 8 positive divisors give a proper-divisor sum of 143,609, so this integer is deficient. The Collatz stopping time is 91 steps.

Prime Factor Structure

Factorization String 17 × 89 × 1327

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 2,151,360

Proper Divisor Sum 143,609

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #2007737 ← → #2007763

Radix Representation

Decimal	2007751
Binary	111101010001011000111 (21 bits)
Octal	0o7521307
Hexadecimal	0x1EA2C7

Divisor Catalog (8)

1 17 89 1,327 1,513 22,559 118,103 2,007,751

Collatz Trajectory (91 steps to reach 1)

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

2,007,751 6,023,254 3,011,627 9,034,882 4,517,441 13,552,324 6,776,162 3,388,081 10,164,244 5,082,122 2,541,061 7,623,184 3,811,592 1,905,796 952,898 476,449 1,429,348 714,674 357,337 1,072,012 536,006 268,003 804,010 402,005 1,206,016 603,008 301,504 150,752 75,376 37,688 18,844 9,422 4,711 14,134 7,067 21,202 10,601 31,804 15,902 7,951 23,854 11,927 35,782 17,891 53,674 26,837 80,512 40,256 20,128 10,064 5,032 2,516 1,258 629 1,888 944 472 236 118 59

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