7,226,175

3 × 5² × 11 × 19 × 461

Starting at 7,226,175, the Collatz iteration reaches 1 after 310 steps. The first transition is 21678526; the starting value is odd with 48 positive divisors.

Prime Factor Structure

Factorization String 3 × 5^2 × 11 × 19 × 461

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 13,749,120

Proper Divisor Sum 6,522,945

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #7226159 ← → #7226183

Radix Representation

Decimal	7226175
Binary	11011100100001100111111 (23 bits)
Octal	0o33441477
Hexadecimal	0x6E433F

Divisor Catalog (48)

1 3 5 11 15 19 25 33 55 57 75 95 165 209 275 285 461 475 627 825 1,045 1,383 1,425 2,305 3,135 5,071 5,225 6,915 8,759 11,525 15,213 15,675 25,355 26,277 34,575 43,795 76,065 96,349 126,775 131,385 218,975 289,047 380,325 481,745 656,925 1,445,235 2,408,725 7,226,175

Collatz Trajectory (310 steps to reach 1)

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

7,226,175 21,678,526 10,839,263 32,517,790 16,258,895 48,776,686 24,388,343 73,165,030 36,582,515 109,747,546 54,873,773 164,621,320 82,310,660 41,155,330 20,577,665 61,732,996 30,866,498 15,433,249 46,299,748 23,149,874 11,574,937 34,724,812 17,362,406 8,681,203 26,043,610 13,021,805 39,065,416 19,532,708 9,766,354 4,883,177 14,649,532 7,324,766 3,662,383 10,987,150 5,493,575 16,480,726 8,240,363 24,721,090 12,360,545 37,081,636 18,540,818 9,270,409 27,811,228 13,905,614 6,952,807 20,858,422 10,429,211 31,287,634 15,643,817 46,931,452 23,465,726 11,732,863 35,198,590 17,599,295 52,797,886 26,398,943 79,196,830 39,598,415 118,795,246 59,397,623

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