λ
Sigma Notebook

4,007,088

24 × 32 × 27827
Abundant Even Composite

4,007,088 is even and not a perfect square. Its factorization is 2^4 × 3^2 × 27827 and its 30 divisors sum to 11,214,684.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 27827
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 11,214,684
Proper Divisor Sum 7,207,596
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4007077 ← → #4007099

Radix Representation

Decimal 4007088
Binary 1111010010010010110000 (22 bits)
Octal 0o17222260
Hexadecimal 0x3D24B0

Divisor Catalog (30)

1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 27,827 55,654 83,481 111,308 166,962 222,616 250,443 333,924 445,232 500,886 667,848 1,001,772 1,335,696 2,003,544 4,007,088

Collatz Trajectory (61 steps to reach 1)

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

4,007,088 2,003,544 1,001,772 500,886 250,443 751,330 375,665 1,126,996 563,498 281,749 845,248 422,624 211,312 105,656 52,828 26,414 13,207 39,622 19,811 59,434 29,717 89,152 44,576 22,288 11,144 5,572 2,786 1,393 4,180 2,090 1,045 3,136 1,568 784 392 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4

More profiles

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