λ
Integer Codex

5,008,336

24 × 17 × 18413
Abundant Even Composite

For 5,008,336, the 20 positive divisors have a total of 10,275,012. Removing 5,008,336 leaves 5,266,676, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^4 × 17 × 18413
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 10,275,012
Proper Divisor Sum 5,266,676
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #5008291 ← → #5008369

Radix Representation

Decimal 5008336
Binary 10011000110101111010000 (23 bits)
Octal 0o23065720
Hexadecimal 0x4C6BD0

Divisor Catalog (20)

1 2 4 8 16 17 34 68 136 272 18,413 36,826 73,652 147,304 294,608 313,021 626,042 1,252,084 2,504,168 5,008,336

Collatz Trajectory (56 steps to reach 1)

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

5,008,336 2,504,168 1,252,084 626,042 313,021 939,064 469,532 234,766 117,383 352,150 176,075 528,226 264,113 792,340 396,170 198,085 594,256 297,128 148,564 74,282 37,141 111,424 55,712 27,856 13,928 6,964 3,482 1,741 5,224 2,612 1,306 653 1,960 980 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

More profiles

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