λ
Sigma Notebook

2,508,138

2 × 33 × 46447
Abundant Even Composite

2,508,138 is even and not a perfect square. Its factorization is 2 × 3^3 × 46447 and its 16 divisors sum to 5,573,760.

Prime Factor Structure

Factorization String 2 × 3^3 × 46447
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 5,573,760
Proper Divisor Sum 3,065,622
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2508113 ← → #2508139

Radix Representation

Decimal 2508138
Binary 1001100100010101101010 (22 bits)
Octal 0o11442552
Hexadecimal 0x26456A

Divisor Catalog (16)

1 2 3 6 9 18 27 54 46,447 92,894 139,341 278,682 418,023 836,046 1,254,069 2,508,138

Collatz Trajectory (174 steps to reach 1)

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

2,508,138 1,254,069 3,762,208 1,881,104 940,552 470,276 235,138 117,569 352,708 176,354 88,177 264,532 132,266 66,133 198,400 99,200 49,600 24,800 12,400 6,200 3,100 1,550 775 2,326 1,163 3,490 1,745 5,236 2,618 1,309 3,928 1,964 982 491 1,474 737 2,212 1,106 553 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108 3,554 1,777 5,332 2,666

More profiles

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