3,218,652

2² × 3² × 29 × 3083

3,218,652 factors as 2^2 × 3^2 × 29 × 3083. Its 36 positive divisors give a proper-divisor sum of 5,200,668, so this integer is abundant. The Collatz stopping time is 120 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 29 × 3083

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 8,419,320

Proper Divisor Sum 5,200,668

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3218641 ← → #3218653

Radix Representation

Decimal	3218652
Binary	1100010001110011011100 (22 bits)
Octal	0o14216334
Hexadecimal	0x311CDC

Divisor Catalog (36)

Collatz Trajectory (120 steps to reach 1)

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

3,218,652 1,609,326 804,663 2,413,990 1,206,995 3,620,986 1,810,493 5,431,480 2,715,740 1,357,870 678,935 2,036,806 1,018,403 3,055,210 1,527,605 4,582,816 2,291,408 1,145,704 572,852 286,426 143,213 429,640 214,820 107,410 53,705 161,116 80,558 40,279 120,838 60,419 181,258 90,629 271,888 135,944 67,972 33,986 16,993 50,980 25,490 12,745 38,236 19,118 9,559 28,678 14,339 43,018 21,509 64,528 32,264 16,132 8,066 4,033 12,100 6,050 3,025 9,076 4,538 2,269 6,808 3,404

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