λ
Harmonic Matrix

3,668,250

2 × 3 × 53 × 67 × 73
Abundant Even Composite

3,668,250 has digital root 3. The neighboring primes are 3668233 and 3668251; its proper-divisor sum differs from the starting integer by 2,083,404.

Prime Factor Structure

Factorization String 2 × 3 × 5^3 × 67 × 73
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 9,419,904
Proper Divisor Sum 5,751,654
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3668233 ← → #3668251

Radix Representation

Decimal 3668250
Binary 1101111111100100011010 (22 bits)
Octal 0o15774432
Hexadecimal 0x37F91A

Divisor Catalog (60 of 64)

1 2 3 5 6 10 15 25 30 50 67 73 75 125 134 146 150 201 219 250 335 365 375 402 438 670 730 750 1,005 1,095 1,675 1,825 2,010 2,190 3,350 3,650 4,891 5,025 5,475 8,375 9,125 9,782 10,050 10,950 14,673 16,750 18,250 24,455 25,125 27,375 29,346 48,910 50,250 54,750 73,365 122,275 146,730 244,550 366,825 611,375

Collatz Trajectory (203 steps to reach 1)

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

3,668,250 1,834,125 5,502,376 2,751,188 1,375,594 687,797 2,063,392 1,031,696 515,848 257,924 128,962 64,481 193,444 96,722 48,361 145,084 72,542 36,271 108,814 54,407 163,222 81,611 244,834 122,417 367,252 183,626 91,813 275,440 137,720 68,860 34,430 17,215 51,646 25,823 77,470 38,735 116,206 58,103 174,310 87,155 261,466 130,733 392,200 196,100 98,050 49,025 147,076 73,538 36,769 110,308 55,154 27,577 82,732 41,366 20,683 62,050 31,025 93,076 46,538 23,269

More profiles

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