3,342,910

2 × 5 × 353 × 947

Starting at 3,342,910, the Collatz iteration reaches 1 after 177 steps. The first transition is 1671455; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 353 × 947

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,040,656

Proper Divisor Sum 2,697,746

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #3342901 ← → #3342943

Radix Representation

Decimal	3342910
Binary	1100110000001000111110 (22 bits)
Octal	0o14601076
Hexadecimal	0x33023E

Divisor Catalog (16)

1 2 5 10 353 706 947 1,765 1,894 3,530 4,735 9,470 334,291 668,582 1,671,455 3,342,910

Collatz Trajectory (177 steps to reach 1)

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

3,342,910 1,671,455 5,014,366 2,507,183 7,521,550 3,760,775 11,282,326 5,641,163 16,923,490 8,461,745 25,385,236 12,692,618 6,346,309 19,038,928 9,519,464 4,759,732 2,379,866 1,189,933 3,569,800 1,784,900 892,450 446,225 1,338,676 669,338 334,669 1,004,008 502,004 251,002 125,501 376,504 188,252 94,126 47,063 141,190 70,595 211,786 105,893 317,680 158,840 79,420 39,710 19,855 59,566 29,783 89,350 44,675 134,026 67,013 201,040 100,520 50,260 25,130 12,565 37,696 18,848 9,424 4,712 2,356 1,178 589

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