λ
Sigma Notebook

3,394,672

24 × 212167
Deficient Even Composite

3,394,672 is even and not a perfect square. Its factorization is 2^4 × 212167 and its 10 divisors sum to 6,577,208.

Prime Factor Structure

Factorization String 2^4 × 212167
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 10
Divisor Sum (σ) 6,577,208
Proper Divisor Sum 3,182,536
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #3394663 ← → #3394681

Radix Representation

Decimal 3394672
Binary 1100111100110001110000 (22 bits)
Octal 0o14746160
Hexadecimal 0x33CC70

Divisor Catalog (10)

1 2 4 8 16 212,167 424,334 848,668 1,697,336 3,394,672

Collatz Trajectory (84 steps to reach 1)

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

3,394,672 1,697,336 848,668 424,334 212,167 636,502 318,251 954,754 477,377 1,432,132 716,066 358,033 1,074,100 537,050 268,525 805,576 402,788 201,394 100,697 302,092 151,046 75,523 226,570 113,285 339,856 169,928 84,964 42,482 21,241 63,724 31,862 15,931 47,794 23,897 71,692 35,846 17,923 53,770 26,885 80,656 40,328 20,164 10,082 5,041 15,124 7,562 3,781 11,344 5,672 2,836 1,418 709 2,128 1,064 532 266 133 400 200 100

More profiles

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