1,027,307

107 × 9601

1,027,307 factors as 107 × 9601. Its 4 positive divisors give a proper-divisor sum of 9,709, so this integer is deficient. The Collatz stopping time is 165 steps.

Prime Factor Structure

Factorization String 107 × 9601

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 1,037,016

Proper Divisor Sum 9,709

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #1027289 ← → #1027319

Radix Representation

Decimal	1027307
Binary	11111010110011101011 (20 bits)
Octal	0o3726353
Hexadecimal	0xFACEB

Divisor Catalog (4)

1 107 9,601 1,027,307

Collatz Trajectory (165 steps to reach 1)

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

1,027,307 3,081,922 1,540,961 4,622,884 2,311,442 1,155,721 3,467,164 1,733,582 866,791 2,600,374 1,300,187 3,900,562 1,950,281 5,850,844 2,925,422 1,462,711 4,388,134 2,194,067 6,582,202 3,291,101 9,873,304 4,936,652 2,468,326 1,234,163 3,702,490 1,851,245 5,553,736 2,776,868 1,388,434 694,217 2,082,652 1,041,326 520,663 1,561,990 780,995 2,342,986 1,171,493 3,514,480 1,757,240 878,620 439,310 219,655 658,966 329,483 988,450 494,225 1,482,676 741,338 370,669 1,112,008 556,004 278,002 139,001 417,004 208,502 104,251 312,754 156,377 469,132 234,566

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