3,303,033

3 × 67 × 16433

Starting at 3,303,033, the Collatz iteration reaches 1 after 208 steps. The first transition is 9909100; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 67 × 16433

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 4,470,048

Proper Divisor Sum 1,167,015

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #3303023 ← → #3303059

Radix Representation

Decimal	3303033
Binary	1100100110011001111001 (22 bits)
Octal	0o14463171
Hexadecimal	0x326679

Divisor Catalog (8)

1 3 67 201 16,433 49,299 1,101,011 3,303,033

Collatz Trajectory (208 steps to reach 1)

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

3,303,033 9,909,100 4,954,550 2,477,275 7,431,826 3,715,913 11,147,740 5,573,870 2,786,935 8,360,806 4,180,403 12,541,210 6,270,605 18,811,816 9,405,908 4,702,954 2,351,477 7,054,432 3,527,216 1,763,608 881,804 440,902 220,451 661,354 330,677 992,032 496,016 248,008 124,004 62,002 31,001 93,004 46,502 23,251 69,754 34,877 104,632 52,316 26,158 13,079 39,238 19,619 58,858 29,429 88,288 44,144 22,072 11,036 5,518 2,759 8,278 4,139 12,418 6,209 18,628 9,314 4,657 13,972 6,986 3,493

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