λ
Sigma Notebook

2,710,044

22 × 33 × 23 × 1091
Abundant Even Composite

2,710,044 is even and not a perfect square. Its factorization is 2^2 × 3^3 × 23 × 1091 and its 48 divisors sum to 7,338,240.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 23 × 1091
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 7,338,240
Proper Divisor Sum 4,628,196
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #2710039 ← → #2710063

Radix Representation

Decimal 2710044
Binary 1010010101101000011100 (22 bits)
Octal 0o12255034
Hexadecimal 0x295A1C

Divisor Catalog (48)

1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 207 276 414 621 828 1,091 1,242 2,182 2,484 3,273 4,364 6,546 9,819 13,092 19,638 25,093 29,457 39,276 50,186 58,914 75,279 100,372 117,828 150,558 225,837 301,116 451,674 677,511 903,348 1,355,022 2,710,044

Collatz Trajectory (86 steps to reach 1)

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

2,710,044 1,355,022 677,511 2,032,534 1,016,267 3,048,802 1,524,401 4,573,204 2,286,602 1,143,301 3,429,904 1,714,952 857,476 428,738 214,369 643,108 321,554 160,777 482,332 241,166 120,583 361,750 180,875 542,626 271,313 813,940 406,970 203,485 610,456 305,228 152,614 76,307 228,922 114,461 343,384 171,692 85,846 42,923 128,770 64,385 193,156 96,578 48,289 144,868 72,434 36,217 108,652 54,326 27,163 81,490 40,745 122,236 61,118 30,559 91,678 45,839 137,518 68,759 206,278 103,139

More profiles

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