λ
Harmonic Matrix

6,500,425

52 × 260017
Deficient Odd Composite

6,500,425 has digital root 4. The neighboring primes are 6500401 and 6500441; its proper-divisor sum differs from the starting integer by -4,940,292.

Prime Factor Structure

Factorization String 5^2 × 260017
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 8,060,558
Proper Divisor Sum 1,560,133
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #6500401 ← → #6500441

Radix Representation

Decimal 6500425
Binary 11000110011000001001001 (23 bits)
Octal 0o30630111
Hexadecimal 0x633049

Divisor Catalog (6)

1 5 25 260,017 1,300,085 6,500,425

Collatz Trajectory (103 steps to reach 1)

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

6,500,425 19,501,276 9,750,638 4,875,319 14,625,958 7,312,979 21,938,938 10,969,469 32,908,408 16,454,204 8,227,102 4,113,551 12,340,654 6,170,327 18,510,982 9,255,491 27,766,474 13,883,237 41,649,712 20,824,856 10,412,428 5,206,214 2,603,107 7,809,322 3,904,661 11,713,984 5,856,992 2,928,496 1,464,248 732,124 366,062 183,031 549,094 274,547 823,642 411,821 1,235,464 617,732 308,866 154,433 463,300 231,650 115,825 347,476 173,738 86,869 260,608 130,304 65,152 32,576 16,288 8,144 4,072 2,036 1,018 509 1,528 764 382 191

More profiles

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