3,341,862

2 × 3² × 31 × 53 × 113

Starting at 3,341,862, the Collatz iteration reaches 1 after 115 steps. The first transition is 1670931; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 31 × 53 × 113

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 7,682,688

Proper Divisor Sum 4,340,826

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3341857 ← → #3341879

Radix Representation

Decimal	3341862
Binary	1100101111111000100110 (22 bits)
Octal	0o14577046
Hexadecimal	0x32FE26

Divisor Catalog (48)

1 2 3 6 9 18 31 53 62 93 106 113 159 186 226 279 318 339 477 558 678 954 1,017 1,643 2,034 3,286 3,503 4,929 5,989 7,006 9,858 10,509 11,978 14,787 17,967 21,018 29,574 31,527 35,934 53,901 63,054 107,802 185,659 371,318 556,977 1,113,954 1,670,931 3,341,862

Collatz Trajectory (115 steps to reach 1)

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

3,341,862 1,670,931 5,012,794 2,506,397 7,519,192 3,759,596 1,879,798 939,899 2,819,698 1,409,849 4,229,548 2,114,774 1,057,387 3,172,162 1,586,081 4,758,244 2,379,122 1,189,561 3,568,684 1,784,342 892,171 2,676,514 1,338,257 4,014,772 2,007,386 1,003,693 3,011,080 1,505,540 752,770 376,385 1,129,156 564,578 282,289 846,868 423,434 211,717 635,152 317,576 158,788 79,394 39,697 119,092 59,546 29,773 89,320 44,660 22,330 11,165 33,496 16,748 8,374 4,187 12,562 6,281 18,844 9,422 4,711 14,134 7,067 21,202

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