λ
Harmonic Matrix

3,662,049

3 × 947 × 1289
Deficient Odd Composite

3,662,049 has digital root 3. The neighboring primes are 3662039 and 3662051; its proper-divisor sum differs from the starting integer by -2,432,418.

Prime Factor Structure

Factorization String 3 × 947 × 1289
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,891,680
Proper Divisor Sum 1,229,631
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3662039 ← → #3662051

Radix Representation

Decimal 3662049
Binary 1101111110000011100001 (22 bits)
Octal 0o15760341
Hexadecimal 0x37E0E1

Divisor Catalog (8)

1 3 947 1,289 2,841 3,867 1,220,683 3,662,049

Collatz Trajectory (234 steps to reach 1)

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

3,662,049 10,986,148 5,493,074 2,746,537 8,239,612 4,119,806 2,059,903 6,179,710 3,089,855 9,269,566 4,634,783 13,904,350 6,952,175 20,856,526 10,428,263 31,284,790 15,642,395 46,927,186 23,463,593 70,390,780 35,195,390 17,597,695 52,793,086 26,396,543 79,189,630 39,594,815 118,784,446 59,392,223 178,176,670 89,088,335 267,265,006 133,632,503 400,897,510 200,448,755 601,346,266 300,673,133 902,019,400 451,009,700 225,504,850 112,752,425 338,257,276 169,128,638 84,564,319 253,692,958 126,846,479 380,539,438 190,269,719 570,809,158 285,404,579 856,213,738 428,106,869 1,284,320,608 642,160,304 321,080,152 160,540,076 80,270,038 40,135,019 120,405,058 60,202,529 180,607,588

More profiles

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