λ
Sigma Notebook

2,632,410

2 × 32 × 5 × 11 × 2659
Abundant Even Composite

2,632,410 is even and not a perfect square. Its factorization is 2 × 3^2 × 5 × 11 × 2659 and its 48 divisors sum to 7,469,280.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 11 × 2659
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 7,469,280
Proper Divisor Sum 4,836,870
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #2632397 ← → #2632411

Radix Representation

Decimal 2632410
Binary 1010000010101011011010 (22 bits)
Octal 0o12025332
Hexadecimal 0x282ADA

Divisor Catalog (48)

1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 2,659 5,318 7,977 13,295 15,954 23,931 26,590 29,249 39,885 47,862 58,498 79,770 87,747 119,655 146,245 175,494 239,310 263,241 292,490 438,735 526,482 877,470 1,316,205 2,632,410

Collatz Trajectory (143 steps to reach 1)

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

2,632,410 1,316,205 3,948,616 1,974,308 987,154 493,577 1,480,732 740,366 370,183 1,110,550 555,275 1,665,826 832,913 2,498,740 1,249,370 624,685 1,874,056 937,028 468,514 234,257 702,772 351,386 175,693 527,080 263,540 131,770 65,885 197,656 98,828 49,414 24,707 74,122 37,061 111,184 55,592 27,796 13,898 6,949 20,848 10,424 5,212 2,606 1,303 3,910 1,955 5,866 2,933 8,800 4,400 2,200 1,100 550 275 826 413 1,240 620 310 155 466

More profiles

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