λ
Sigma Notebook

2,712,448

27 × 21191
Deficient Even Composite

2,712,448 is even and not a perfect square. Its factorization is 2^7 × 21191 and its 16 divisors sum to 5,403,960.

Prime Factor Structure

Factorization String 2^7 × 21191
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 5,403,960
Proper Divisor Sum 2,691,512
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #2712443 ← → #2712449

Radix Representation

Decimal 2712448
Binary 1010010110001110000000 (22 bits)
Octal 0o12261600
Hexadecimal 0x296380

Divisor Catalog (16)

1 2 4 8 16 32 64 128 21,191 42,382 84,764 169,528 339,056 678,112 1,356,224 2,712,448

Collatz Trajectory (63 steps to reach 1)

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

2,712,448 1,356,224 678,112 339,056 169,528 84,764 42,382 21,191 63,574 31,787 95,362 47,681 143,044 71,522 35,761 107,284 53,642 26,821 80,464 40,232 20,116 10,058 5,029 15,088 7,544 3,772 1,886 943 2,830 1,415 4,246 2,123 6,370 3,185 9,556 4,778 2,389 7,168 3,584 1,792 896 448 224 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16

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