3,711,204

2² × 3³ × 7 × 4909

3,711,204 has digital root 9. The neighboring primes are 3711203 and 3711209; its proper-divisor sum differs from the starting integer by 3,575,992.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 7 × 4909

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 10,998,400

Proper Divisor Sum 7,287,196

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #3711203 ← → #3711209

Radix Representation

Decimal	3711204
Binary	1110001010000011100100 (22 bits)
Octal	0o16120344
Hexadecimal	0x38A0E4

Divisor Catalog (48)

1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 4,909 9,818 14,727 19,636 29,454 34,363 44,181 58,908 68,726 88,362 103,089 132,543 137,452 176,724 206,178 265,086 309,267 412,356 530,172 618,534 927,801 1,237,068 1,855,602 3,711,204

Collatz Trajectory (172 steps to reach 1)

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

3,711,204 1,855,602 927,801 2,783,404 1,391,702 695,851 2,087,554 1,043,777 3,131,332 1,565,666 782,833 2,348,500 1,174,250 587,125 1,761,376 880,688 440,344 220,172 110,086 55,043 165,130 82,565 247,696 123,848 61,924 30,962 15,481 46,444 23,222 11,611 34,834 17,417 52,252 26,126 13,063 39,190 19,595 58,786 29,393 88,180 44,090 22,045 66,136 33,068 16,534 8,267 24,802 12,401 37,204 18,602 9,301 27,904 13,952 6,976 3,488 1,744 872 436 218 109

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