λ
Harmonic Matrix

3,089,024

27 × 24133
Deficient Even Composite

3,089,024 has digital root 8. The neighboring primes are 3088973 and 3089027; its proper-divisor sum differs from the starting integer by -23,878.

Prime Factor Structure

Factorization String 2^7 × 24133
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 6,154,170
Proper Divisor Sum 3,065,146
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #3088973 ← → #3089027

Radix Representation

Decimal 3089024
Binary 1011110010001010000000 (22 bits)
Octal 0o13621200
Hexadecimal 0x2F2280

Divisor Catalog (16)

1 2 4 8 16 32 64 128 24,133 48,266 96,532 193,064 386,128 772,256 1,544,512 3,089,024

Collatz Trajectory (50 steps to reach 1)

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

3,089,024 1,544,512 772,256 386,128 193,064 96,532 48,266 24,133 72,400 36,200 18,100 9,050 4,525 13,576 6,788 3,394 1,697 5,092 2,546 1,273 3,820 1,910 955 2,866 1,433 4,300 2,150 1,075 3,226 1,613 4,840 2,420 1,210 605 1,816 908 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

More profiles

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