9,708,068

2² × 173 × 14029

9,708,068 factors as 2^2 × 173 × 14029. Its 12 positive divisors give a proper-divisor sum of 7,380,472, so this integer is deficient. The Collatz stopping time is 362 steps.

Prime Factor Structure

Factorization String 2^2 × 173 × 14029

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 17,088,540

Proper Divisor Sum 7,380,472

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #9707989 ← → #9708113

Radix Representation

Decimal	9708068
Binary	100101000010001000100100 (24 bits)
Octal	0o45021044
Hexadecimal	0x942224

Divisor Catalog (12)

1 2 4 173 346 692 14,029 28,058 56,116 2,427,017 4,854,034 9,708,068

Collatz Trajectory (362 steps to reach 1)

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

9,708,068 4,854,034 2,427,017 7,281,052 3,640,526 1,820,263 5,460,790 2,730,395 8,191,186 4,095,593 12,286,780 6,143,390 3,071,695 9,215,086 4,607,543 13,822,630 6,911,315 20,733,946 10,366,973 31,100,920 15,550,460 7,775,230 3,887,615 11,662,846 5,831,423 17,494,270 8,747,135 26,241,406 13,120,703 39,362,110 19,681,055 59,043,166 29,521,583 88,564,750 44,282,375 132,847,126 66,423,563 199,270,690 99,635,345 298,906,036 149,453,018 74,726,509 224,179,528 112,089,764 56,044,882 28,022,441 84,067,324 42,033,662 21,016,831 63,050,494 31,525,247 94,575,742 47,287,871 141,863,614 70,931,807 212,795,422 106,397,711 319,193,134 159,596,567 478,789,702

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