λ
Sigma Notebook

2,072,652

22 × 3 × 172721
Abundant Even Composite

2,072,652 is even and not a perfect square. Its factorization is 2^2 × 3 × 172721 and its 12 divisors sum to 4,836,216.

Prime Factor Structure

Factorization String 2^2 × 3 × 172721
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 4,836,216
Proper Divisor Sum 2,763,564
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2072647 ← → #2072663

Radix Representation

Decimal 2072652
Binary 111111010000001001100 (21 bits)
Octal 0o7720114
Hexadecimal 0x1FA04C

Divisor Catalog (12)

1 2 3 4 6 12 172,721 345,442 518,163 690,884 1,036,326 2,072,652

Collatz Trajectory (104 steps to reach 1)

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

2,072,652 1,036,326 518,163 1,554,490 777,245 2,331,736 1,165,868 582,934 291,467 874,402 437,201 1,311,604 655,802 327,901 983,704 491,852 245,926 122,963 368,890 184,445 553,336 276,668 138,334 69,167 207,502 103,751 311,254 155,627 466,882 233,441 700,324 350,162 175,081 525,244 262,622 131,311 393,934 196,967 590,902 295,451 886,354 443,177 1,329,532 664,766 332,383 997,150 498,575 1,495,726 747,863 2,243,590 1,121,795 3,365,386 1,682,693 5,048,080 2,524,040 1,262,020 631,010 315,505 946,516 473,258

More profiles

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