3,691,708

2² × 251 × 3677

3,691,708 factors as 2^2 × 251 × 3677. Its 12 positive divisors give a proper-divisor sum of 2,796,284, so this integer is deficient. The Collatz stopping time is 190 steps.

Prime Factor Structure

Factorization String 2^2 × 251 × 3677

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,487,992

Proper Divisor Sum 2,796,284

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #3691693 ← → #3691717

Radix Representation

Decimal	3691708
Binary	1110000101010010111100 (22 bits)
Octal	0o16052274
Hexadecimal	0x3854BC

Divisor Catalog (12)

1 2 4 251 502 1,004 3,677 7,354 14,708 922,927 1,845,854 3,691,708

Collatz Trajectory (190 steps to reach 1)

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

3,691,708 1,845,854 922,927 2,768,782 1,384,391 4,153,174 2,076,587 6,229,762 3,114,881 9,344,644 4,672,322 2,336,161 7,008,484 3,504,242 1,752,121 5,256,364 2,628,182 1,314,091 3,942,274 1,971,137 5,913,412 2,956,706 1,478,353 4,435,060 2,217,530 1,108,765 3,326,296 1,663,148 831,574 415,787 1,247,362 623,681 1,871,044 935,522 467,761 1,403,284 701,642 350,821 1,052,464 526,232 263,116 131,558 65,779 197,338 98,669 296,008 148,004 74,002 37,001 111,004 55,502 27,751 83,254 41,627 124,882 62,441 187,324 93,662 46,831 140,494

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