λ
Harmonic Matrix

2,006,246

2 × 11 × 91193
Deficient Even Composite

2,006,246 has digital root 2. The neighboring primes are 2006239 and 2006273; its proper-divisor sum differs from the starting integer by -729,508.

Prime Factor Structure

Factorization String 2 × 11 × 91193
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,282,984
Proper Divisor Sum 1,276,738
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #2006239 ← → #2006273

Radix Representation

Decimal 2006246
Binary 111101001110011100110 (21 bits)
Octal 0o7516346
Hexadecimal 0x1E9CE6

Divisor Catalog (8)

1 2 11 22 91,193 182,386 1,003,123 2,006,246

Collatz Trajectory (114 steps to reach 1)

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

2,006,246 1,003,123 3,009,370 1,504,685 4,514,056 2,257,028 1,128,514 564,257 1,692,772 846,386 423,193 1,269,580 634,790 317,395 952,186 476,093 1,428,280 714,140 357,070 178,535 535,606 267,803 803,410 401,705 1,205,116 602,558 301,279 903,838 451,919 1,355,758 677,879 2,033,638 1,016,819 3,050,458 1,525,229 4,575,688 2,287,844 1,143,922 571,961 1,715,884 857,942 428,971 1,286,914 643,457 1,930,372 965,186 482,593 1,447,780 723,890 361,945 1,085,836 542,918 271,459 814,378 407,189 1,221,568 610,784 305,392 152,696 76,348

More profiles

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