λ
Sigma Notebook

2,607,836

22 × 7 × 11 × 8467
Abundant Even Composite

2,607,836 is even and not a perfect square. Its factorization is 2^2 × 7 × 11 × 8467 and its 24 divisors sum to 5,690,496.

Prime Factor Structure

Factorization String 2^2 × 7 × 11 × 8467
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,690,496
Proper Divisor Sum 3,082,660
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #2607827 ← → #2607853

Radix Representation

Decimal 2607836
Binary 1001111100101011011100 (22 bits)
Octal 0o11745334
Hexadecimal 0x27CADC

Divisor Catalog (24)

1 2 4 7 11 14 22 28 44 77 154 308 8,467 16,934 33,868 59,269 93,137 118,538 186,274 237,076 372,548 651,959 1,303,918 2,607,836

Collatz Trajectory (187 steps to reach 1)

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

2,607,836 1,303,918 651,959 1,955,878 977,939 2,933,818 1,466,909 4,400,728 2,200,364 1,100,182 550,091 1,650,274 825,137 2,475,412 1,237,706 618,853 1,856,560 928,280 464,140 232,070 116,035 348,106 174,053 522,160 261,080 130,540 65,270 32,635 97,906 48,953 146,860 73,430 36,715 110,146 55,073 165,220 82,610 41,305 123,916 61,958 30,979 92,938 46,469 139,408 69,704 34,852 17,426 8,713 26,140 13,070 6,535 19,606 9,803 29,410 14,705 44,116 22,058 11,029 33,088 16,544

More profiles

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