λ
Prime Ledger

2,058,762

2 × 3 × 343127
Abundant Even Composite

2,058,762 has the prime decomposition 2 × 3 × 343127. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 343127
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,117,536
Proper Divisor Sum 2,058,774
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2058761 ← → #2058767

Radix Representation

Decimal 2058762
Binary 111110110101000001010 (21 bits)
Octal 0o7665012
Hexadecimal 0x1F6A0A

Divisor Catalog (8)

1 2 3 6 343,127 686,254 1,029,381 2,058,762

Collatz Trajectory (104 steps to reach 1)

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

2,058,762 1,029,381 3,088,144 1,544,072 772,036 386,018 193,009 579,028 289,514 144,757 434,272 217,136 108,568 54,284 27,142 13,571 40,714 20,357 61,072 30,536 15,268 7,634 3,817 11,452 5,726 2,863 8,590 4,295 12,886 6,443 19,330 9,665 28,996 14,498 7,249 21,748 10,874 5,437 16,312 8,156 4,078 2,039 6,118 3,059 9,178 4,589 13,768 6,884 3,442 1,721 5,164 2,582 1,291 3,874 1,937 5,812 2,906 1,453 4,360 2,180

More profiles

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