λ
Harmonic Matrix

7,008,186

2 × 3 × 1168031
Abundant Even Composite

7,008,186 has digital root 3. The neighboring primes are 7008181 and 7008191; its proper-divisor sum differs from the starting integer by 12.

Prime Factor Structure

Factorization String 2 × 3 × 1168031
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 14,016,384
Proper Divisor Sum 7,008,198
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #7008181 ← → #7008191

Radix Representation

Decimal 7008186
Binary 11010101110111110111010 (23 bits)
Octal 0o32567672
Hexadecimal 0x6AEFBA

Divisor Catalog (8)

1 2 3 6 1,168,031 2,336,062 3,504,093 7,008,186

Collatz Trajectory (191 steps to reach 1)

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

7,008,186 3,504,093 10,512,280 5,256,140 2,628,070 1,314,035 3,942,106 1,971,053 5,913,160 2,956,580 1,478,290 739,145 2,217,436 1,108,718 554,359 1,663,078 831,539 2,494,618 1,247,309 3,741,928 1,870,964 935,482 467,741 1,403,224 701,612 350,806 175,403 526,210 263,105 789,316 394,658 197,329 591,988 295,994 147,997 443,992 221,996 110,998 55,499 166,498 83,249 249,748 124,874 62,437 187,312 93,656 46,828 23,414 11,707 35,122 17,561 52,684 26,342 13,171 39,514 19,757 59,272 29,636 14,818 7,409

More profiles

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