λ
Prime Ledger

7,382,946

2 × 3 × 1230491
Abundant Even Composite

7,382,946 has the prime decomposition 2 × 3 × 1230491. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 1230491
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 14,765,904
Proper Divisor Sum 7,382,958
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #7382899 ← → #7382951

Radix Representation

Decimal 7382946
Binary 11100001010011110100010 (23 bits)
Octal 0o34123642
Hexadecimal 0x70A7A2

Divisor Catalog (8)

1 2 3 6 1,230,491 2,460,982 3,691,473 7,382,946

Collatz Trajectory (165 steps to reach 1)

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

7,382,946 3,691,473 11,074,420 5,537,210 2,768,605 8,305,816 4,152,908 2,076,454 1,038,227 3,114,682 1,557,341 4,672,024 2,336,012 1,168,006 584,003 1,752,010 876,005 2,628,016 1,314,008 657,004 328,502 164,251 492,754 246,377 739,132 369,566 184,783 554,350 277,175 831,526 415,763 1,247,290 623,645 1,870,936 935,468 467,734 233,867 701,602 350,801 1,052,404 526,202 263,101 789,304 394,652 197,326 98,663 295,990 147,995 443,986 221,993 665,980 332,990 166,495 499,486 249,743 749,230 374,615 1,123,846 561,923 1,685,770

More profiles

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