7,691,592

2³ × 3 × 320483

Starting at 7,691,592, the Collatz iteration reaches 1 after 186 steps. The first transition is 3845796; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 320483

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 19,229,040

Proper Divisor Sum 11,537,448

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #7691569 ← → #7691603

Radix Representation

Decimal	7691592
Binary	11101010101110101001000 (23 bits)
Octal	0o35256510
Hexadecimal	0x755D48

Divisor Catalog (16)

1 2 3 4 6 8 12 24 320,483 640,966 961,449 1,281,932 1,922,898 2,563,864 3,845,796 7,691,592

Collatz Trajectory (186 steps to reach 1)

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

7,691,592 3,845,796 1,922,898 961,449 2,884,348 1,442,174 721,087 2,163,262 1,081,631 3,244,894 1,622,447 4,867,342 2,433,671 7,301,014 3,650,507 10,951,522 5,475,761 16,427,284 8,213,642 4,106,821 12,320,464 6,160,232 3,080,116 1,540,058 770,029 2,310,088 1,155,044 577,522 288,761 866,284 433,142 216,571 649,714 324,857 974,572 487,286 243,643 730,930 365,465 1,096,396 548,198 274,099 822,298 411,149 1,233,448 616,724 308,362 154,181 462,544 231,272 115,636 57,818 28,909 86,728 43,364 21,682 10,841 32,524 16,262 8,131

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