λ
Sigma Notebook

5,227,924

22 × 13 × 100537
Deficient Even Composite

5,227,924 is even and not a perfect square. Its factorization is 2^2 × 13 × 100537 and its 12 divisors sum to 9,852,724.

Prime Factor Structure

Factorization String 2^2 × 13 × 100537
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 9,852,724
Proper Divisor Sum 4,624,800
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #5227919 ← → #5227961

Radix Representation

Decimal 5227924
Binary 10011111100010110010100 (23 bits)
Octal 0o23742624
Hexadecimal 0x4FC594

Divisor Catalog (12)

1 2 4 13 26 52 100,537 201,074 402,148 1,306,981 2,613,962 5,227,924

Collatz Trajectory (95 steps to reach 1)

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

5,227,924 2,613,962 1,306,981 3,920,944 1,960,472 980,236 490,118 245,059 735,178 367,589 1,102,768 551,384 275,692 137,846 68,923 206,770 103,385 310,156 155,078 77,539 232,618 116,309 348,928 174,464 87,232 43,616 21,808 10,904 5,452 2,726 1,363 4,090 2,045 6,136 3,068 1,534 767 2,302 1,151 3,454 1,727 5,182 2,591 7,774 3,887 11,662 5,831 17,494 8,747 26,242 13,121 39,364 19,682 9,841 29,524 14,762 7,381 22,144 11,072 5,536

More profiles

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