λ
Integer Codex

6,333,325

52 × 61 × 4153
Deficient Odd Composite

For 6,333,325, the 12 positive divisors have a total of 7,983,988. Removing 6,333,325 leaves 1,650,663, which gives the deficient classification.

Prime Factor Structure

Factorization String 5^2 × 61 × 4153
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 7,983,988
Proper Divisor Sum 1,650,663
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #6333317 ← → #6333337

Radix Representation

Decimal 6333325
Binary 11000001010001110001101 (23 bits)
Octal 0o30121615
Hexadecimal 0x60A38D

Divisor Catalog (12)

1 5 25 61 305 1,525 4,153 20,765 103,825 253,333 1,266,665 6,333,325

Collatz Trajectory (72 steps to reach 1)

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

6,333,325 18,999,976 9,499,988 4,749,994 2,374,997 7,124,992 3,562,496 1,781,248 890,624 445,312 222,656 111,328 55,664 27,832 13,916 6,958 3,479 10,438 5,219 15,658 7,829 23,488 11,744 5,872 2,936 1,468 734 367 1,102 551 1,654 827 2,482 1,241 3,724 1,862 931 2,794 1,397 4,192 2,096 1,048 524 262 131 394 197 592 296 148 74 37 112 56 28 14 7 22 11 34

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