λ
Sigma Notebook

5,012,628

22 × 3 × 417719
Abundant Even Composite

5,012,628 is even and not a perfect square. Its factorization is 2^2 × 3 × 417719 and its 12 divisors sum to 11,696,160.

Prime Factor Structure

Factorization String 2^2 × 3 × 417719
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 11,696,160
Proper Divisor Sum 6,683,532
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #5012627 ← → #5012633

Radix Representation

Decimal 5012628
Binary 10011000111110010010100 (23 bits)
Octal 0o23076224
Hexadecimal 0x4C7C94

Divisor Catalog (12)

1 2 3 4 6 12 417,719 835,438 1,253,157 1,670,876 2,506,314 5,012,628

Collatz Trajectory (157 steps to reach 1)

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

5,012,628 2,506,314 1,253,157 3,759,472 1,879,736 939,868 469,934 234,967 704,902 352,451 1,057,354 528,677 1,586,032 793,016 396,508 198,254 99,127 297,382 148,691 446,074 223,037 669,112 334,556 167,278 83,639 250,918 125,459 376,378 188,189 564,568 282,284 141,142 70,571 211,714 105,857 317,572 158,786 79,393 238,180 119,090 59,545 178,636 89,318 44,659 133,978 66,989 200,968 100,484 50,242 25,121 75,364 37,682 18,841 56,524 28,262 14,131 42,394 21,197 63,592 31,796

More profiles

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