7,747,326

2 × 3⁵ × 19 × 839

Starting at 7,747,326, the Collatz iteration reaches 1 after 230 steps. The first transition is 3873663; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^5 × 19 × 839

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 18,345,600

Proper Divisor Sum 10,598,274

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #7747309 ← → #7747367

Radix Representation

Decimal	7747326
Binary	11101100011011011111110 (23 bits)
Octal	0o35433376
Hexadecimal	0x7636FE

Divisor Catalog (48)

1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 243 342 486 513 839 1,026 1,539 1,678 2,517 3,078 4,617 5,034 7,551 9,234 15,102 15,941 22,653 31,882 45,306 47,823 67,959 95,646 135,918 143,469 203,877 286,938 407,754 430,407 860,814 1,291,221 2,582,442 3,873,663 7,747,326

Collatz Trajectory (230 steps to reach 1)

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

7,747,326 3,873,663 11,620,990 5,810,495 17,431,486 8,715,743 26,147,230 13,073,615 39,220,846 19,610,423 58,831,270 29,415,635 88,246,906 44,123,453 132,370,360 66,185,180 33,092,590 16,546,295 49,638,886 24,819,443 74,458,330 37,229,165 111,687,496 55,843,748 27,921,874 13,960,937 41,882,812 20,941,406 10,470,703 31,412,110 15,706,055 47,118,166 23,559,083 70,677,250 35,338,625 106,015,876 53,007,938 26,503,969 79,511,908 39,755,954 19,877,977 59,633,932 29,816,966 14,908,483 44,725,450 22,362,725 67,088,176 33,544,088 16,772,044 8,386,022 4,193,011 12,579,034 6,289,517 18,868,552 9,434,276 4,717,138 2,358,569 7,075,708 3,537,854 1,768,927

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