λ
Sigma Notebook

3,384,728

23 × 423091
Deficient Even Composite

3,384,728 is even and not a perfect square. Its factorization is 2^3 × 423091 and its 8 divisors sum to 6,346,380.

Prime Factor Structure

Factorization String 2^3 × 423091
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,346,380
Proper Divisor Sum 2,961,652
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #3384727 ← → #3384737

Radix Representation

Decimal 3384728
Binary 1100111010010110011000 (22 bits)
Octal 0o14722630
Hexadecimal 0x33A598

Divisor Catalog (8)

1 2 4 8 423,091 846,182 1,692,364 3,384,728

Collatz Trajectory (146 steps to reach 1)

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

3,384,728 1,692,364 846,182 423,091 1,269,274 634,637 1,903,912 951,956 475,978 237,989 713,968 356,984 178,492 89,246 44,623 133,870 66,935 200,806 100,403 301,210 150,605 451,816 225,908 112,954 56,477 169,432 84,716 42,358 21,179 63,538 31,769 95,308 47,654 23,827 71,482 35,741 107,224 53,612 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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