λ
Prime Ledger

6,941,540

22 × 5 × 449 × 773
Abundant Even Composite

6,941,540 has the prime decomposition 2^2 × 5 × 449 × 773. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 449 × 773
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 14,628,600
Proper Divisor Sum 7,687,060
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #6941509 ← → #6941549

Radix Representation

Decimal 6941540
Binary 11010011110101101100100 (23 bits)
Octal 0o32365544
Hexadecimal 0x69EB64

Divisor Catalog (24)

1 2 4 5 10 20 449 773 898 1,546 1,796 2,245 3,092 3,865 4,490 7,730 8,980 15,460 347,077 694,154 1,388,308 1,735,385 3,470,770 6,941,540

Collatz Trajectory (72 steps to reach 1)

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

6,941,540 3,470,770 1,735,385 5,206,156 2,603,078 1,301,539 3,904,618 1,952,309 5,856,928 2,928,464 1,464,232 732,116 366,058 183,029 549,088 274,544 137,272 68,636 34,318 17,159 51,478 25,739 77,218 38,609 115,828 57,914 28,957 86,872 43,436 21,718 10,859 32,578 16,289 48,868 24,434 12,217 36,652 18,326 9,163 27,490 13,745 41,236 20,618 10,309 30,928 15,464 7,732 3,866 1,933 5,800 2,900 1,450 725 2,176 1,088 544 272 136 68 34

More profiles

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