9,707,598

2 × 3² × 539311

9,707,598 factors as 2 × 3^2 × 539311. Its 12 positive divisors give a proper-divisor sum of 11,325,570, so this integer is abundant. The Collatz stopping time is 119 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 539311

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 21,033,168

Proper Divisor Sum 11,325,570

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #9707591 ← → #9707603

Radix Representation

Decimal	9707598
Binary	100101000010000001001110 (24 bits)
Octal	0o45020116
Hexadecimal	0x94204E

Divisor Catalog (12)

1 2 3 6 9 18 539,311 1,078,622 1,617,933 3,235,866 4,853,799 9,707,598

Collatz Trajectory (119 steps to reach 1)

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

9,707,598 4,853,799 14,561,398 7,280,699 21,842,098 10,921,049 32,763,148 16,381,574 8,190,787 24,572,362 12,286,181 36,858,544 18,429,272 9,214,636 4,607,318 2,303,659 6,910,978 3,455,489 10,366,468 5,183,234 2,591,617 7,774,852 3,887,426 1,943,713 5,831,140 2,915,570 1,457,785 4,373,356 2,186,678 1,093,339 3,280,018 1,640,009 4,920,028 2,460,014 1,230,007 3,690,022 1,845,011 5,535,034 2,767,517 8,302,552 4,151,276 2,075,638 1,037,819 3,113,458 1,556,729 4,670,188 2,335,094 1,167,547 3,502,642 1,751,321 5,253,964 2,626,982 1,313,491 3,940,474 1,970,237 5,910,712 2,955,356 1,477,678 738,839 2,216,518

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