λ
Sigma Notebook

2,623,962

2 × 3 × 11 × 83 × 479
Abundant Even Composite

2,623,962 is even and not a perfect square. Its factorization is 2 × 3 × 11 × 83 × 479 and its 32 divisors sum to 5,806,080.

Prime Factor Structure

Factorization String 2 × 3 × 11 × 83 × 479
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,806,080
Proper Divisor Sum 3,182,118
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2623939 ← → #2623969

Radix Representation

Decimal 2623962
Binary 1010000000100111011010 (22 bits)
Octal 0o12004732
Hexadecimal 0x2809DA

Divisor Catalog (32)

1 2 3 6 11 22 33 66 83 166 249 479 498 913 958 1,437 1,826 2,739 2,874 5,269 5,478 10,538 15,807 31,614 39,757 79,514 119,271 238,542 437,327 874,654 1,311,981 2,623,962

Collatz Trajectory (187 steps to reach 1)

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

2,623,962 1,311,981 3,935,944 1,967,972 983,986 491,993 1,475,980 737,990 368,995 1,106,986 553,493 1,660,480 830,240 415,120 207,560 103,780 51,890 25,945 77,836 38,918 19,459 58,378 29,189 87,568 43,784 21,892 10,946 5,473 16,420 8,210 4,105 12,316 6,158 3,079 9,238 4,619 13,858 6,929 20,788 10,394 5,197 15,592 7,796 3,898 1,949 5,848 2,924 1,462 731 2,194 1,097 3,292 1,646 823 2,470 1,235 3,706 1,853 5,560 2,780

More profiles

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