6,225,180

2² × 3 × 5 × 13 × 23 × 347

6,225,180 has digital root 6. The neighboring primes are 6225137 and 6225181; its proper-divisor sum differs from the starting integer by 7,193,544.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 13 × 23 × 347

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 19,643,904

Proper Divisor Sum 13,418,724

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #6225137 ← → #6225181

Radix Representation

Decimal	6225180
Binary	10111101111110100011100 (23 bits)
Octal	0o27576434
Hexadecimal	0x5EFD1C

Divisor Catalog (60 of 96)

1 2 3 4 5 6 10 12 13 15 20 23 26 30 39 46 52 60 65 69 78 92 115 130 138 156 195 230 260 276 299 345 347 390 460 598 690 694 780 897 1,041 1,196 1,380 1,388 1,495 1,735 1,794 2,082 2,990 3,470 3,588 4,164 4,485 4,511 5,205 5,980 6,940 7,981 8,970 9,022

Collatz Trajectory (134 steps to reach 1)

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

6,225,180 3,112,590 1,556,295 4,668,886 2,334,443 7,003,330 3,501,665 10,504,996 5,252,498 2,626,249 7,878,748 3,939,374 1,969,687 5,909,062 2,954,531 8,863,594 4,431,797 13,295,392 6,647,696 3,323,848 1,661,924 830,962 415,481 1,246,444 623,222 311,611 934,834 467,417 1,402,252 701,126 350,563 1,051,690 525,845 1,577,536 788,768 394,384 197,192 98,596 49,298 24,649 73,948 36,974 18,487 55,462 27,731 83,194 41,597 124,792 62,396 31,198 15,599 46,798 23,399 70,198 35,099 105,298 52,649 157,948 78,974 39,487

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