λ
Harmonic Matrix

3,228,131

137 × 23563
Deficient Odd Composite

3,228,131 has digital root 2. The neighboring primes are 3228109 and 3228143; its proper-divisor sum differs from the starting integer by -3,204,430.

Prime Factor Structure

Factorization String 137 × 23563
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 3,251,832
Proper Divisor Sum 23,701
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #3228109 ← → #3228143

Radix Representation

Decimal 3228131
Binary 1100010100000111100011 (22 bits)
Octal 0o14240743
Hexadecimal 0x3141E3

Divisor Catalog (4)

1 137 23,563 3,228,131

Collatz Trajectory (76 steps to reach 1)

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

3,228,131 9,684,394 4,842,197 14,526,592 7,263,296 3,631,648 1,815,824 907,912 453,956 226,978 113,489 340,468 170,234 85,117 255,352 127,676 63,838 31,919 95,758 47,879 143,638 71,819 215,458 107,729 323,188 161,594 80,797 242,392 121,196 60,598 30,299 90,898 45,449 136,348 68,174 34,087 102,262 51,131 153,394 76,697 230,092 115,046 57,523 172,570 86,285 258,856 129,428 64,714 32,357 97,072 48,536 24,268 12,134 6,067 18,202 9,101 27,304 13,652 6,826 3,413

More profiles

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