λ
Sequence Observatory

2,514,366

2 × 32 × 41 × 3407
Abundant Even Composite

Starting at 2,514,366, the Collatz iteration reaches 1 after 112 steps. The first transition is 1257183; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 41 × 3407
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,582,304
Proper Divisor Sum 3,067,938
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2514341 ← → #2514377

Radix Representation

Decimal 2514366
Binary 1001100101110110111110 (22 bits)
Octal 0o11456676
Hexadecimal 0x265DBE

Divisor Catalog (24)

1 2 3 6 9 18 41 82 123 246 369 738 3,407 6,814 10,221 20,442 30,663 61,326 139,687 279,374 419,061 838,122 1,257,183 2,514,366

Collatz Trajectory (112 steps to reach 1)

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

2,514,366 1,257,183 3,771,550 1,885,775 5,657,326 2,828,663 8,485,990 4,242,995 12,728,986 6,364,493 19,093,480 9,546,740 4,773,370 2,386,685 7,160,056 3,580,028 1,790,014 895,007 2,685,022 1,342,511 4,027,534 2,013,767 6,041,302 3,020,651 9,061,954 4,530,977 13,592,932 6,796,466 3,398,233 10,194,700 5,097,350 2,548,675 7,646,026 3,823,013 11,469,040 5,734,520 2,867,260 1,433,630 716,815 2,150,446 1,075,223 3,225,670 1,612,835 4,838,506 2,419,253 7,257,760 3,628,880 1,814,440 907,220 453,610 226,805 680,416 340,208 170,104 85,052 42,526 21,263 63,790 31,895 95,686

More profiles

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