λ
Harmonic Matrix

2,340,006

2 × 3 × 390001
Abundant Even Composite

2,340,006 has digital root 6. The neighboring primes are 2340001 and 2340007; its proper-divisor sum differs from the starting integer by 12.

Prime Factor Structure

Factorization String 2 × 3 × 390001
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,680,024
Proper Divisor Sum 2,340,018
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #2340001 ← → #2340007

Radix Representation

Decimal 2340006
Binary 1000111011010010100110 (22 bits)
Octal 0o10732246
Hexadecimal 0x23B4A6

Divisor Catalog (8)

1 2 3 6 390,001 780,002 1,170,003 2,340,006

Collatz Trajectory (192 steps to reach 1)

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

2,340,006 1,170,003 3,510,010 1,755,005 5,265,016 2,632,508 1,316,254 658,127 1,974,382 987,191 2,961,574 1,480,787 4,442,362 2,221,181 6,663,544 3,331,772 1,665,886 832,943 2,498,830 1,249,415 3,748,246 1,874,123 5,622,370 2,811,185 8,433,556 4,216,778 2,108,389 6,325,168 3,162,584 1,581,292 790,646 395,323 1,185,970 592,985 1,778,956 889,478 444,739 1,334,218 667,109 2,001,328 1,000,664 500,332 250,166 125,083 375,250 187,625 562,876 281,438 140,719 422,158 211,079 633,238 316,619 949,858 474,929 1,424,788 712,394 356,197 1,068,592 534,296

More profiles

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