λ
Modular Archive

3,329,420

22 × 5 × 166471
Abundant Even Composite

The decimal integer 3,329,420 is 1100101100110110001100 in binary (22 bits), 14546614 in octal and 32CD8C in hexadecimal. Its digit sum is 23.

Prime Factor Structure

Factorization String 2^2 × 5 × 166471
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 6,991,824
Proper Divisor Sum 3,662,404
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #3329387 ← → #3329423

Radix Representation

Decimal 3329420
Binary 1100101100110110001100 (22 bits)
Octal 0o14546614
Hexadecimal 0x32CD8C

Divisor Catalog (12)

1 2 4 5 10 20 166,471 332,942 665,884 832,355 1,664,710 3,329,420

Collatz Trajectory (71 steps to reach 1)

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

3,329,420 1,664,710 832,355 2,497,066 1,248,533 3,745,600 1,872,800 936,400 468,200 234,100 117,050 58,525 175,576 87,788 43,894 21,947 65,842 32,921 98,764 49,382 24,691 74,074 37,037 111,112 55,556 27,778 13,889 41,668 20,834 10,417 31,252 15,626 7,813 23,440 11,720 5,860 2,930 1,465 4,396 2,198 1,099 3,298 1,649 4,948 2,474 1,237 3,712 1,856 928 464 232 116 58 29 88 44 22 11 34 17

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