λ
Prime Ledger

6,222,625

53 × 67 × 743
Deficient Odd Composite

6,222,625 has the prime decomposition 5^3 × 67 × 743. Its 3 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 5^3 × 67 × 743
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 7,892,352
Proper Divisor Sum 1,669,727
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #6222607 ← → #6222641

Radix Representation

Decimal 6222625
Binary 10111101111001100100001 (23 bits)
Octal 0o27571441
Hexadecimal 0x5EF321

Divisor Catalog (16)

1 5 25 67 125 335 743 1,675 3,715 8,375 18,575 49,781 92,875 248,905 1,244,525 6,222,625

Collatz Trajectory (165 steps to reach 1)

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

6,222,625 18,667,876 9,333,938 4,666,969 14,000,908 7,000,454 3,500,227 10,500,682 5,250,341 15,751,024 7,875,512 3,937,756 1,968,878 984,439 2,953,318 1,476,659 4,429,978 2,214,989 6,644,968 3,322,484 1,661,242 830,621 2,491,864 1,245,932 622,966 311,483 934,450 467,225 1,401,676 700,838 350,419 1,051,258 525,629 1,576,888 788,444 394,222 197,111 591,334 295,667 887,002 443,501 1,330,504 665,252 332,626 166,313 498,940 249,470 124,735 374,206 187,103 561,310 280,655 841,966 420,983 1,262,950 631,475 1,894,426 947,213 2,841,640 1,420,820

More profiles

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