λ
Harmonic Matrix

3,115,218

2 × 3 × 167 × 3109
Abundant Even Composite

3,115,218 has digital root 3. The neighboring primes are 3115201 and 3115237; its proper-divisor sum differs from the starting integer by 39,324.

Prime Factor Structure

Factorization String 2 × 3 × 167 × 3109
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 6,269,760
Proper Divisor Sum 3,154,542
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #3115201 ← → #3115237

Radix Representation

Decimal 3115218
Binary 1011111000100011010010 (22 bits)
Octal 0o13704322
Hexadecimal 0x2F88D2

Divisor Catalog (16)

1 2 3 6 167 334 501 1,002 3,109 6,218 9,327 18,654 519,203 1,038,406 1,557,609 3,115,218

Collatz Trajectory (226 steps to reach 1)

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

3,115,218 1,557,609 4,672,828 2,336,414 1,168,207 3,504,622 1,752,311 5,256,934 2,628,467 7,885,402 3,942,701 11,828,104 5,914,052 2,957,026 1,478,513 4,435,540 2,217,770 1,108,885 3,326,656 1,663,328 831,664 415,832 207,916 103,958 51,979 155,938 77,969 233,908 116,954 58,477 175,432 87,716 43,858 21,929 65,788 32,894 16,447 49,342 24,671 74,014 37,007 111,022 55,511 166,534 83,267 249,802 124,901 374,704 187,352 93,676 46,838 23,419 70,258 35,129 105,388 52,694 26,347 79,042 39,521 118,564

More profiles

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