λ
Sigma Notebook

3,384,824

23 × 423103
Deficient Even Composite

3,384,824 is even and not a perfect square. Its factorization is 2^3 × 423103 and its 8 divisors sum to 6,346,560.

Prime Factor Structure

Factorization String 2^3 × 423103
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,346,560
Proper Divisor Sum 2,961,736
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #3384817 ← → #3384839

Radix Representation

Decimal 3384824
Binary 1100111010010111111000 (22 bits)
Octal 0o14722770
Hexadecimal 0x33A5F8

Divisor Catalog (8)

1 2 4 8 423,103 846,206 1,692,412 3,384,824

Collatz Trajectory (146 steps to reach 1)

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

3,384,824 1,692,412 846,206 423,103 1,269,310 634,655 1,903,966 951,983 2,855,950 1,427,975 4,283,926 2,141,963 6,425,890 3,212,945 9,638,836 4,819,418 2,409,709 7,229,128 3,614,564 1,807,282 903,641 2,710,924 1,355,462 677,731 2,033,194 1,016,597 3,049,792 1,524,896 762,448 381,224 190,612 95,306 47,653 142,960 71,480 35,740 17,870 8,935 26,806 13,403 40,210 20,105 60,316 30,158 15,079 45,238 22,619 67,858 33,929 101,788 50,894 25,447 76,342 38,171 114,514 57,257 171,772 85,886 42,943 128,830

More profiles

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