3,906,204

2² × 3 × 325517

3,906,204 factors as 2^2 × 3 × 325517. Its 12 positive divisors give a proper-divisor sum of 5,208,300, so this integer is abundant. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 325517

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 9,114,504

Proper Divisor Sum 5,208,300

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #3906187 ← → #3906247

Radix Representation

Decimal	3906204
Binary	1110111001101010011100 (22 bits)
Octal	0o16715234
Hexadecimal	0x3B9A9C

Divisor Catalog (12)

1 2 3 4 6 12 325,517 651,034 976,551 1,302,068 1,953,102 3,906,204

Collatz Trajectory (123 steps to reach 1)

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

3,906,204 1,953,102 976,551 2,929,654 1,464,827 4,394,482 2,197,241 6,591,724 3,295,862 1,647,931 4,943,794 2,471,897 7,415,692 3,707,846 1,853,923 5,561,770 2,780,885 8,342,656 4,171,328 2,085,664 1,042,832 521,416 260,708 130,354 65,177 195,532 97,766 48,883 146,650 73,325 219,976 109,988 54,994 27,497 82,492 41,246 20,623 61,870 30,935 92,806 46,403 139,210 69,605 208,816 104,408 52,204 26,102 13,051 39,154 19,577 58,732 29,366 14,683 44,050 22,025 66,076 33,038 16,519 49,558 24,779

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