3,356,228

2² × 29 × 28933

Starting at 3,356,228, the Collatz iteration reaches 1 after 177 steps. The first transition is 1678114; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 29 × 28933

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,076,140

Proper Divisor Sum 2,719,912

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #3356209 ← → #3356237

Radix Representation

Decimal	3356228
Binary	1100110011011001000100 (22 bits)
Octal	0o14633104
Hexadecimal	0x333644

Divisor Catalog (12)

1 2 4 29 58 116 28,933 57,866 115,732 839,057 1,678,114 3,356,228

Collatz Trajectory (177 steps to reach 1)

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

3,356,228 1,678,114 839,057 2,517,172 1,258,586 629,293 1,887,880 943,940 471,970 235,985 707,956 353,978 176,989 530,968 265,484 132,742 66,371 199,114 99,557 298,672 149,336 74,668 37,334 18,667 56,002 28,001 84,004 42,002 21,001 63,004 31,502 15,751 47,254 23,627 70,882 35,441 106,324 53,162 26,581 79,744 39,872 19,936 9,968 4,984 2,492 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108 3,554

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