3,305,988

2² × 3³ × 7 × 4373

3,305,988 has digital root 9. The neighboring primes are 3305983 and 3305989; its proper-divisor sum differs from the starting integer by 3,185,784.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 7 × 4373

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 9,797,760

Proper Divisor Sum 6,491,772

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3305983 ← → #3305989

Radix Representation

Decimal	3305988
Binary	1100100111001000000100 (22 bits)
Octal	0o14471004
Hexadecimal	0x327204

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 4,373 8,746 13,119 17,492 26,238 30,611 39,357 52,476 61,222 78,714 91,833 118,071 122,444 157,428 183,666 236,142 275,499 367,332 472,284 550,998 826,497 1,101,996 1,652,994 3,305,988

Collatz Trajectory (177 steps to reach 1)

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

3,305,988 1,652,994 826,497 2,479,492 1,239,746 619,873 1,859,620 929,810 464,905 1,394,716 697,358 348,679 1,046,038 523,019 1,569,058 784,529 2,353,588 1,176,794 588,397 1,765,192 882,596 441,298 220,649 661,948 330,974 165,487 496,462 248,231 744,694 372,347 1,117,042 558,521 1,675,564 837,782 418,891 1,256,674 628,337 1,885,012 942,506 471,253 1,413,760 706,880 353,440 176,720 88,360 44,180 22,090 11,045 33,136 16,568 8,284 4,142 2,071 6,214 3,107 9,322 4,661 13,984 6,992 3,496

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