3,362,140

2² × 5 × 23 × 7309

Starting at 3,362,140, the Collatz iteration reaches 1 after 252 steps. The first transition is 1681070; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 23 × 7309

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 7,368,480

Proper Divisor Sum 4,006,340

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #3362129 ← → #3362143

Radix Representation

Decimal	3362140
Binary	1100110100110101011100 (22 bits)
Octal	0o14646534
Hexadecimal	0x334D5C

Divisor Catalog (24)

1 2 4 5 10 20 23 46 92 115 230 460 7,309 14,618 29,236 36,545 73,090 146,180 168,107 336,214 672,428 840,535 1,681,070 3,362,140

Collatz Trajectory (252 steps to reach 1)

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

3,362,140 1,681,070 840,535 2,521,606 1,260,803 3,782,410 1,891,205 5,673,616 2,836,808 1,418,404 709,202 354,601 1,063,804 531,902 265,951 797,854 398,927 1,196,782 598,391 1,795,174 897,587 2,692,762 1,346,381 4,039,144 2,019,572 1,009,786 504,893 1,514,680 757,340 378,670 189,335 568,006 284,003 852,010 426,005 1,278,016 639,008 319,504 159,752 79,876 39,938 19,969 59,908 29,954 14,977 44,932 22,466 11,233 33,700 16,850 8,425 25,276 12,638 6,319 18,958 9,479 28,438 14,219 42,658 21,329

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