λ
Integer Codex

5,002,197

3 × 592 × 479
Deficient Odd Composite

For 5,002,197, the 12 positive divisors have a total of 6,798,720. Removing 5,002,197 leaves 1,796,523, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 59^2 × 479
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 6,798,720
Proper Divisor Sum 1,796,523
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #5002189 ← → #5002211

Radix Representation

Decimal 5002197
Binary 10011000101001111010101 (23 bits)
Octal 0o23051725
Hexadecimal 0x4C53D5

Divisor Catalog (12)

1 3 59 177 479 1,437 3,481 10,443 28,261 84,783 1,667,399 5,002,197

Collatz Trajectory (113 steps to reach 1)

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

5,002,197 15,006,592 7,503,296 3,751,648 1,875,824 937,912 468,956 234,478 117,239 351,718 175,859 527,578 263,789 791,368 395,684 197,842 98,921 296,764 148,382 74,191 222,574 111,287 333,862 166,931 500,794 250,397 751,192 375,596 187,798 93,899 281,698 140,849 422,548 211,274 105,637 316,912 158,456 79,228 39,614 19,807 59,422 29,711 89,134 44,567 133,702 66,851 200,554 100,277 300,832 150,416 75,208 37,604 18,802 9,401 28,204 14,102 7,051 21,154 10,577 31,732

More profiles

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