3,306,603

3 × 1102201

Starting at 3,306,603, the Collatz iteration reaches 1 after 177 steps. The first transition is 9919810; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 3 × 1102201

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 4,408,808

Proper Divisor Sum 1,102,205

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #3306601 ← → #3306607

Radix Representation

Decimal	3306603
Binary	1100100111010001101011 (22 bits)
Octal	0o14472153
Hexadecimal	0x32746B

Divisor Catalog (4)

1 3 1,102,201 3,306,603

Collatz Trajectory (177 steps to reach 1)

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

3,306,603 9,919,810 4,959,905 14,879,716 7,439,858 3,719,929 11,159,788 5,579,894 2,789,947 8,369,842 4,184,921 12,554,764 6,277,382 3,138,691 9,416,074 4,708,037 14,124,112 7,062,056 3,531,028 1,765,514 882,757 2,648,272 1,324,136 662,068 331,034 165,517 496,552 248,276 124,138 62,069 186,208 93,104 46,552 23,276 11,638 5,819 17,458 8,729 26,188 13,094 6,547 19,642 9,821 29,464 14,732 7,366 3,683 11,050 5,525 16,576 8,288 4,144 2,072 1,036 518 259 778 389 1,168 584

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