λ
Integer Codex

5,097,772

22 × 467 × 2729
Deficient Even Composite

For 5,097,772, the 12 positive divisors have a total of 8,943,480. Removing 5,097,772 leaves 3,845,708, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^2 × 467 × 2729
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 8,943,480
Proper Divisor Sum 3,845,708
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #5097767 ← → #5097787

Radix Representation

Decimal 5097772
Binary 10011011100100100101100 (23 bits)
Octal 0o23344454
Hexadecimal 0x4DC92C

Divisor Catalog (12)

1 2 4 467 934 1,868 2,729 5,458 10,916 1,274,443 2,548,886 5,097,772

Collatz Trajectory (82 steps to reach 1)

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

5,097,772 2,548,886 1,274,443 3,823,330 1,911,665 5,734,996 2,867,498 1,433,749 4,301,248 2,150,624 1,075,312 537,656 268,828 134,414 67,207 201,622 100,811 302,434 151,217 453,652 226,826 113,413 340,240 170,120 85,060 42,530 21,265 63,796 31,898 15,949 47,848 23,924 11,962 5,981 17,944 8,972 4,486 2,243 6,730 3,365 10,096 5,048 2,524 1,262 631 1,894 947 2,842 1,421 4,264 2,132 1,066 533 1,600 800 400 200 100 50 25

More profiles

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