7,113,628

2² × 593 × 2999

Starting at 7,113,628, the Collatz iteration reaches 1 after 121 steps. The first transition is 3556814; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 593 × 2999

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 12,474,000

Proper Divisor Sum 5,360,372

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #7113611 ← → #7113641

Radix Representation

Decimal	7113628
Binary	11011001000101110011100 (23 bits)
Octal	0o33105634
Hexadecimal	0x6C8B9C

Divisor Catalog (12)

1 2 4 593 1,186 2,372 2,999 5,998 11,996 1,778,407 3,556,814 7,113,628

Collatz Trajectory (121 steps to reach 1)

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

7,113,628 3,556,814 1,778,407 5,335,222 2,667,611 8,002,834 4,001,417 12,004,252 6,002,126 3,001,063 9,003,190 4,501,595 13,504,786 6,752,393 20,257,180 10,128,590 5,064,295 15,192,886 7,596,443 22,789,330 11,394,665 34,183,996 17,091,998 8,545,999 25,637,998 12,818,999 38,456,998 19,228,499 57,685,498 28,842,749 86,528,248 43,264,124 21,632,062 10,816,031 32,448,094 16,224,047 48,672,142 24,336,071 73,008,214 36,504,107 109,512,322 54,756,161 164,268,484 82,134,242 41,067,121 123,201,364 61,600,682 30,800,341 92,401,024 46,200,512 23,100,256 11,550,128 5,775,064 2,887,532 1,443,766 721,883 2,165,650 1,082,825 3,248,476 1,624,238

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