λ
Sigma Notebook

2,072,104

23 × 179 × 1447
Deficient Even Composite

2,072,104 is even and not a perfect square. Its factorization is 2^3 × 179 × 1447 and its 16 divisors sum to 3,909,600.

Prime Factor Structure

Factorization String 2^3 × 179 × 1447
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,909,600
Proper Divisor Sum 1,837,496
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #2072101 ← → #2072117

Radix Representation

Decimal 2072104
Binary 111111001111000101000 (21 bits)
Octal 0o7717050
Hexadecimal 0x1F9E28

Divisor Catalog (16)

1 2 4 8 179 358 716 1,432 1,447 2,894 5,788 11,576 259,013 518,026 1,036,052 2,072,104

Collatz Trajectory (166 steps to reach 1)

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

2,072,104 1,036,052 518,026 259,013 777,040 388,520 194,260 97,130 48,565 145,696 72,848 36,424 18,212 9,106 4,553 13,660 6,830 3,415 10,246 5,123 15,370 7,685 23,056 11,528 5,764 2,882 1,441 4,324 2,162 1,081 3,244 1,622 811 2,434 1,217 3,652 1,826 913 2,740 1,370 685 2,056 1,028 514 257 772 386 193 580 290 145 436 218 109 328 164 82 41 124 62

More profiles

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