7,341,786

2 × 3³ × 79 × 1721

Starting at 7,341,786, the Collatz iteration reaches 1 after 204 steps. The first transition is 3670893; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^3 × 79 × 1721

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 16,531,200

Proper Divisor Sum 9,189,414

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #7341781 ← → #7341811

Radix Representation

Decimal	7341786
Binary	11100000000011011011010 (23 bits)
Octal	0o34003332
Hexadecimal	0x7006DA

Divisor Catalog (32)

1 2 3 6 9 18 27 54 79 158 237 474 711 1,422 1,721 2,133 3,442 4,266 5,163 10,326 15,489 30,978 46,467 92,934 135,959 271,918 407,877 815,754 1,223,631 2,447,262 3,670,893 7,341,786

Collatz Trajectory (204 steps to reach 1)

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

7,341,786 3,670,893 11,012,680 5,506,340 2,753,170 1,376,585 4,129,756 2,064,878 1,032,439 3,097,318 1,548,659 4,645,978 2,322,989 6,968,968 3,484,484 1,742,242 871,121 2,613,364 1,306,682 653,341 1,960,024 980,012 490,006 245,003 735,010 367,505 1,102,516 551,258 275,629 826,888 413,444 206,722 103,361 310,084 155,042 77,521 232,564 116,282 58,141 174,424 87,212 43,606 21,803 65,410 32,705 98,116 49,058 24,529 73,588 36,794 18,397 55,192 27,596 13,798 6,899 20,698 10,349 31,048 15,524 7,762

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