3,692,028

2² × 3 × 307669

3,692,028 factors as 2^2 × 3 × 307669. Its 12 positive divisors give a proper-divisor sum of 4,922,732, so this integer is abundant. The Collatz stopping time is 84 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 307669

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 8,614,760

Proper Divisor Sum 4,922,732

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #3692021 ← → #3692041

Radix Representation

Decimal	3692028
Binary	1110000101010111111100 (22 bits)
Octal	0o16052774
Hexadecimal	0x3855FC

Divisor Catalog (12)

1 2 3 4 6 12 307,669 615,338 923,007 1,230,676 1,846,014 3,692,028

Collatz Trajectory (84 steps to reach 1)

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

3,692,028 1,846,014 923,007 2,769,022 1,384,511 4,153,534 2,076,767 6,230,302 3,115,151 9,345,454 4,672,727 14,018,182 7,009,091 21,027,274 10,513,637 31,540,912 15,770,456 7,885,228 3,942,614 1,971,307 5,913,922 2,956,961 8,870,884 4,435,442 2,217,721 6,653,164 3,326,582 1,663,291 4,989,874 2,494,937 7,484,812 3,742,406 1,871,203 5,613,610 2,806,805 8,420,416 4,210,208 2,105,104 1,052,552 526,276 263,138 131,569 394,708 197,354 98,677 296,032 148,016 74,008 37,004 18,502 9,251 27,754 13,877 41,632 20,816 10,408 5,204 2,602 1,301 3,904

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