3,237,204

2² × 3 × 23 × 37 × 317

3,237,204 factors as 2^2 × 3 × 23 × 37 × 317. Its 48 positive divisors give a proper-divisor sum of 4,883,244, so this integer is abundant. The Collatz stopping time is 164 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 23 × 37 × 317

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 8,120,448

Proper Divisor Sum 4,883,244

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #3237193 ← → #3237211

Radix Representation

Decimal	3237204
Binary	1100010110010101010100 (22 bits)
Octal	0o14262524
Hexadecimal	0x316554

Divisor Catalog (48)

1 2 3 4 6 12 23 37 46 69 74 92 111 138 148 222 276 317 444 634 851 951 1,268 1,702 1,902 2,553 3,404 3,804 5,106 7,291 10,212 11,729 14,582 21,873 23,458 29,164 35,187 43,746 46,916 70,374 87,492 140,748 269,767 539,534 809,301 1,079,068 1,618,602 3,237,204

Collatz Trajectory (164 steps to reach 1)

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

3,237,204 1,618,602 809,301 2,427,904 1,213,952 606,976 303,488 151,744 75,872 37,936 18,968 9,484 4,742 2,371 7,114 3,557 10,672 5,336 2,668 1,334 667 2,002 1,001 3,004 1,502 751 2,254 1,127 3,382 1,691 5,074 2,537 7,612 3,806 1,903 5,710 2,855 8,566 4,283 12,850 6,425 19,276 9,638 4,819 14,458 7,229 21,688 10,844 5,422 2,711 8,134 4,067 12,202 6,101 18,304 9,152 4,576 2,288 1,144 572

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