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9,708,084

22 × 32 × 31 × 8699
Abundant Even Composite

9,708,084 factors as 2^2 × 3^2 × 31 × 8699. Its 36 positive divisors give a proper-divisor sum of 15,626,316, so this integer is abundant. The Collatz stopping time is 207 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 31 × 8699
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 25,334,400
Proper Divisor Sum 15,626,316
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9707989 ← → #9708113

Radix Representation

Decimal 9708084
Binary 100101000010001000110100 (24 bits)
Octal 0o45021064
Hexadecimal 0x942234

Divisor Catalog (36)

1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 1,116 8,699 17,398 26,097 34,796 52,194 78,291 104,388 156,582 269,669 313,164 539,338 809,007 1,078,676 1,618,014 2,427,021 3,236,028 4,854,042 9,708,084

Collatz Trajectory (207 steps to reach 1)

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

9,708,084 4,854,042 2,427,021 7,281,064 3,640,532 1,820,266 910,133 2,730,400 1,365,200 682,600 341,300 170,650 85,325 255,976 127,988 63,994 31,997 95,992 47,996 23,998 11,999 35,998 17,999 53,998 26,999 80,998 40,499 121,498 60,749 182,248 91,124 45,562 22,781 68,344 34,172 17,086 8,543 25,630 12,815 38,446 19,223 57,670 28,835 86,506 43,253 129,760 64,880 32,440 16,220 8,110 4,055 12,166 6,083 18,250 9,125 27,376 13,688 6,844 3,422 1,711

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