3,366,103

13 × 73 × 3547

Starting at 3,366,103, the Collatz iteration reaches 1 after 115 steps. The first transition is 10098310; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 13 × 73 × 3547

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 3,675,728

Proper Divisor Sum 309,625

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #3366089 ← → #3366107

Radix Representation

Decimal	3366103
Binary	1100110101110011010111 (22 bits)
Octal	0o14656327
Hexadecimal	0x335CD7

Divisor Catalog (8)

1 13 73 949 3,547 46,111 258,931 3,366,103

Collatz Trajectory (115 steps to reach 1)

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

3,366,103 10,098,310 5,049,155 15,147,466 7,573,733 22,721,200 11,360,600 5,680,300 2,840,150 1,420,075 4,260,226 2,130,113 6,390,340 3,195,170 1,597,585 4,792,756 2,396,378 1,198,189 3,594,568 1,797,284 898,642 449,321 1,347,964 673,982 336,991 1,010,974 505,487 1,516,462 758,231 2,274,694 1,137,347 3,412,042 1,706,021 5,118,064 2,559,032 1,279,516 639,758 319,879 959,638 479,819 1,439,458 719,729 2,159,188 1,079,594 539,797 1,619,392 809,696 404,848 202,424 101,212 50,606 25,303 75,910 37,955 113,866 56,933 170,800 85,400 42,700 21,350

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