λ
Prime Ledger

4,831,642

2 × 727 × 3323
Deficient Even Composite

4,831,642 has the prime decomposition 2 × 727 × 3323. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 727 × 3323
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,259,616
Proper Divisor Sum 2,427,974
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #4831637 ← → #4831657

Radix Representation

Decimal 4831642
Binary 10010011011100110011010 (23 bits)
Octal 0o22334632
Hexadecimal 0x49B99A

Divisor Catalog (8)

1 2 727 1,454 3,323 6,646 2,415,821 4,831,642

Collatz Trajectory (118 steps to reach 1)

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

4,831,642 2,415,821 7,247,464 3,623,732 1,811,866 905,933 2,717,800 1,358,900 679,450 339,725 1,019,176 509,588 254,794 127,397 382,192 191,096 95,548 47,774 23,887 71,662 35,831 107,494 53,747 161,242 80,621 241,864 120,932 60,466 30,233 90,700 45,350 22,675 68,026 34,013 102,040 51,020 25,510 12,755 38,266 19,133 57,400 28,700 14,350 7,175 21,526 10,763 32,290 16,145 48,436 24,218 12,109 36,328 18,164 9,082 4,541 13,624 6,812 3,406 1,703 5,110

More profiles

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