3,115,918

2 × 13 × 37 × 41 × 79

Starting at 3,115,918, the Collatz iteration reaches 1 after 151 steps. The first transition is 1557959; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 13 × 37 × 41 × 79

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 5,362,560

Proper Divisor Sum 2,246,642

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #3115907 ← → #3115919

Radix Representation

Decimal	3115918
Binary	1011111000101110001110 (22 bits)
Octal	0o13705616
Hexadecimal	0x2F8B8E

Divisor Catalog (32)

1 2 13 26 37 41 74 79 82 158 481 533 962 1,027 1,066 1,517 2,054 2,923 3,034 3,239 5,846 6,478 19,721 37,999 39,442 42,107 75,998 84,214 119,843 239,686 1,557,959 3,115,918

Collatz Trajectory (151 steps to reach 1)

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

3,115,918 1,557,959 4,673,878 2,336,939 7,010,818 3,505,409 10,516,228 5,258,114 2,629,057 7,887,172 3,943,586 1,971,793 5,915,380 2,957,690 1,478,845 4,436,536 2,218,268 1,109,134 554,567 1,663,702 831,851 2,495,554 1,247,777 3,743,332 1,871,666 935,833 2,807,500 1,403,750 701,875 2,105,626 1,052,813 3,158,440 1,579,220 789,610 394,805 1,184,416 592,208 296,104 148,052 74,026 37,013 111,040 55,520 27,760 13,880 6,940 3,470 1,735 5,206 2,603 7,810 3,905 11,716 5,858 2,929 8,788 4,394 2,197 6,592 3,296

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