3,027,684

2² × 3 × 11 × 22937

3,027,684 has digital root 3. The neighboring primes are 3027659 and 3027719; its proper-divisor sum differs from the starting integer by 1,651,800.

Prime Factor Structure

Factorization String 2^2 × 3 × 11 × 22937

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 7,707,168

Proper Divisor Sum 4,679,484

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #3027659 ← → #3027719

Radix Representation

Decimal	3027684
Binary	1011100011001011100100 (22 bits)
Octal	0o13431344
Hexadecimal	0x2E32E4

Divisor Catalog (24)

1 2 3 4 6 11 12 22 33 44 66 132 22,937 45,874 68,811 91,748 137,622 252,307 275,244 504,614 756,921 1,009,228 1,513,842 3,027,684

Collatz Trajectory (89 steps to reach 1)

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

3,027,684 1,513,842 756,921 2,270,764 1,135,382 567,691 1,703,074 851,537 2,554,612 1,277,306 638,653 1,915,960 957,980 478,990 239,495 718,486 359,243 1,077,730 538,865 1,616,596 808,298 404,149 1,212,448 606,224 303,112 151,556 75,778 37,889 113,668 56,834 28,417 85,252 42,626 21,313 63,940 31,970 15,985 47,956 23,978 11,989 35,968 17,984 8,992 4,496 2,248 1,124 562 281 844 422 211 634 317 952 476 238 119 358 179 538

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