λ
Sigma Notebook

5,122,048

211 × 41 × 61
Abundant Even Composite

5,122,048 is even and not a perfect square. Its factorization is 2^11 × 41 × 61 and its 48 divisors sum to 10,663,380.

Prime Factor Structure

Factorization String 2^11 × 41 × 61
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 10,663,380
Proper Divisor Sum 5,541,332
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #5121989 ← → #5122069

Radix Representation

Decimal 5122048
Binary 10011100010100000000000 (23 bits)
Octal 0o23424000
Hexadecimal 0x4E2800

Divisor Catalog (48)

1 2 4 8 16 32 41 61 64 82 122 128 164 244 256 328 488 512 656 976 1,024 1,312 1,952 2,048 2,501 2,624 3,904 5,002 5,248 7,808 10,004 10,496 15,616 20,008 20,992 31,232 40,016 41,984 62,464 80,032 83,968 124,928 160,064 320,128 640,256 1,280,512 2,561,024 5,122,048

Collatz Trajectory (38 steps to reach 1)

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

5,122,048 2,561,024 1,280,512 640,256 320,128 160,064 80,032 40,016 20,008 10,004 5,002 2,501 7,504 3,752 1,876 938 469 1,408 704 352 176 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

More profiles

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