λ
Harmonic Matrix

3,243,188

22 × 13 × 47 × 1327
Deficient Even Composite

3,243,188 has digital root 2. The neighboring primes are 3243181 and 3243193; its proper-divisor sum differs from the starting integer by -239,464.

Prime Factor Structure

Factorization String 2^2 × 13 × 47 × 1327
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,246,912
Proper Divisor Sum 3,003,724
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #3243181 ← → #3243193

Radix Representation

Decimal 3243188
Binary 1100010111110010110100 (22 bits)
Octal 0o14276264
Hexadecimal 0x317CB4

Divisor Catalog (24)

1 2 4 13 26 47 52 94 188 611 1,222 1,327 2,444 2,654 5,308 17,251 34,502 62,369 69,004 124,738 249,476 810,797 1,621,594 3,243,188

Collatz Trajectory (164 steps to reach 1)

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

3,243,188 1,621,594 810,797 2,432,392 1,216,196 608,098 304,049 912,148 456,074 228,037 684,112 342,056 171,028 85,514 42,757 128,272 64,136 32,068 16,034 8,017 24,052 12,026 6,013 18,040 9,020 4,510 2,255 6,766 3,383 10,150 5,075 15,226 7,613 22,840 11,420 5,710 2,855 8,566 4,283 12,850 6,425 19,276 9,638 4,819 14,458 7,229 21,688 10,844 5,422 2,711 8,134 4,067 12,202 6,101 18,304 9,152 4,576 2,288 1,144 572

More profiles

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