9,609,513

3 × 61 × 52511

9,609,513 has digital root 6. The neighboring primes are 9609503 and 9609517; its proper-divisor sum differs from the starting integer by -6,196,050.

Prime Factor Structure

Factorization String 3 × 61 × 52511

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 13,022,976

Proper Divisor Sum 3,413,463

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #9609503 ← → #9609517

Radix Representation

Decimal	9609513
Binary	100100101010000100101001 (24 bits)
Octal	0o44520451
Hexadecimal	0x92A129

Divisor Catalog (8)

1 3 61 183 52,511 157,533 3,203,171 9,609,513

Collatz Trajectory (150 steps to reach 1)

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

9,609,513 28,828,540 14,414,270 7,207,135 21,621,406 10,810,703 32,432,110 16,216,055 48,648,166 24,324,083 72,972,250 36,486,125 109,458,376 54,729,188 27,364,594 13,682,297 41,046,892 20,523,446 10,261,723 30,785,170 15,392,585 46,177,756 23,088,878 11,544,439 34,633,318 17,316,659 51,949,978 25,974,989 77,924,968 38,962,484 19,481,242 9,740,621 29,221,864 14,610,932 7,305,466 3,652,733 10,958,200 5,479,100 2,739,550 1,369,775 4,109,326 2,054,663 6,163,990 3,081,995 9,245,986 4,622,993 13,868,980 6,934,490 3,467,245 10,401,736 5,200,868 2,600,434 1,300,217 3,900,652 1,950,326 975,163 2,925,490 1,462,745 4,388,236 2,194,118

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