3,708,166

2 × 7 × 11³ × 199

3,708,166 factors as 2 × 7 × 11^3 × 199. Its 32 positive divisors give a proper-divisor sum of 3,319,034, so this integer is deficient. The Collatz stopping time is 110 steps.

Prime Factor Structure

Factorization String 2 × 7 × 11^3 × 199

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 7,027,200

Proper Divisor Sum 3,319,034

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #3708161 ← → #3708169

Radix Representation

Decimal	3708166
Binary	1110001001010100000110 (22 bits)
Octal	0o16112406
Hexadecimal	0x389506

Divisor Catalog (32)

Collatz Trajectory (110 steps to reach 1)

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

3,708,166 1,854,083 5,562,250 2,781,125 8,343,376 4,171,688 2,085,844 1,042,922 521,461 1,564,384 782,192 391,096 195,548 97,774 48,887 146,662 73,331 219,994 109,997 329,992 164,996 82,498 41,249 123,748 61,874 30,937 92,812 46,406 23,203 69,610 34,805 104,416 52,208 26,104 13,052 6,526 3,263 9,790 4,895 14,686 7,343 22,030 11,015 33,046 16,523 49,570 24,785 74,356 37,178 18,589 55,768 27,884 13,942 6,971 20,914 10,457 31,372 15,686 7,843 23,530

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