λ
Harmonic Matrix

4,346,318

2 × 53 × 131 × 313
Deficient Even Composite

4,346,318 has digital root 2. The neighboring primes are 4346281 and 4346323; its proper-divisor sum differs from the starting integer by -1,978,060.

Prime Factor Structure

Factorization String 2 × 53 × 131 × 313
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 6,714,576
Proper Divisor Sum 2,368,258
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #4346281 ← → #4346323

Radix Representation

Decimal 4346318
Binary 10000100101000111001110 (23 bits)
Octal 0o20450716
Hexadecimal 0x4251CE

Divisor Catalog (16)

1 2 53 106 131 262 313 626 6,943 13,886 16,589 33,178 41,003 82,006 2,173,159 4,346,318

Collatz Trajectory (224 steps to reach 1)

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

4,346,318 2,173,159 6,519,478 3,259,739 9,779,218 4,889,609 14,668,828 7,334,414 3,667,207 11,001,622 5,500,811 16,502,434 8,251,217 24,753,652 12,376,826 6,188,413 18,565,240 9,282,620 4,641,310 2,320,655 6,961,966 3,480,983 10,442,950 5,221,475 15,664,426 7,832,213 23,496,640 11,748,320 5,874,160 2,937,080 1,468,540 734,270 367,135 1,101,406 550,703 1,652,110 826,055 2,478,166 1,239,083 3,717,250 1,858,625 5,575,876 2,787,938 1,393,969 4,181,908 2,090,954 1,045,477 3,136,432 1,568,216 784,108 392,054 196,027 588,082 294,041 882,124 441,062 220,531 661,594 330,797 992,392

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