7,638,326

2 × 577 × 6619

Starting at 7,638,326, the Collatz iteration reaches 1 after 155 steps. The first transition is 3819163; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 577 × 6619

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 11,479,080

Proper Divisor Sum 3,840,754

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #7638313 ← → #7638331

Radix Representation

Decimal	7638326
Binary	11101001000110100110110 (23 bits)
Octal	0o35106466
Hexadecimal	0x748D36

Divisor Catalog (8)

1 2 577 1,154 6,619 13,238 3,819,163 7,638,326

Collatz Trajectory (155 steps to reach 1)

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

7,638,326 3,819,163 11,457,490 5,728,745 17,186,236 8,593,118 4,296,559 12,889,678 6,444,839 19,334,518 9,667,259 29,001,778 14,500,889 43,502,668 21,751,334 10,875,667 32,627,002 16,313,501 48,940,504 24,470,252 12,235,126 6,117,563 18,352,690 9,176,345 27,529,036 13,764,518 6,882,259 20,646,778 10,323,389 30,970,168 15,485,084 7,742,542 3,871,271 11,613,814 5,806,907 17,420,722 8,710,361 26,131,084 13,065,542 6,532,771 19,598,314 9,799,157 29,397,472 14,698,736 7,349,368 3,674,684 1,837,342 918,671 2,756,014 1,378,007 4,134,022 2,067,011 6,201,034 3,100,517 9,301,552 4,650,776 2,325,388 1,162,694 581,347 1,744,042

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