λ
Harmonic Matrix

3,630,750

2 × 3 × 53 × 47 × 103
Abundant Even Composite

3,630,750 has digital root 6. The neighboring primes are 3630749 and 3630769; its proper-divisor sum differs from the starting integer by 2,083,524.

Prime Factor Structure

Factorization String 2 × 3 × 5^3 × 47 × 103
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 9,345,024
Proper Divisor Sum 5,714,274
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #3630749 ← → #3630769

Radix Representation

Decimal 3630750
Binary 1101110110011010011110 (22 bits)
Octal 0o15663236
Hexadecimal 0x37669E

Divisor Catalog (60 of 64)

1 2 3 5 6 10 15 25 30 47 50 75 94 103 125 141 150 206 235 250 282 309 375 470 515 618 705 750 1,030 1,175 1,410 1,545 2,350 2,575 3,090 3,525 4,841 5,150 5,875 7,050 7,725 9,682 11,750 12,875 14,523 15,450 17,625 24,205 25,750 29,046 35,250 38,625 48,410 72,615 77,250 121,025 145,230 242,050 363,075 605,125

Collatz Trajectory (190 steps to reach 1)

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

3,630,750 1,815,375 5,446,126 2,723,063 8,169,190 4,084,595 12,253,786 6,126,893 18,380,680 9,190,340 4,595,170 2,297,585 6,892,756 3,446,378 1,723,189 5,169,568 2,584,784 1,292,392 646,196 323,098 161,549 484,648 242,324 121,162 60,581 181,744 90,872 45,436 22,718 11,359 34,078 17,039 51,118 25,559 76,678 38,339 115,018 57,509 172,528 86,264 43,132 21,566 10,783 32,350 16,175 48,526 24,263 72,790 36,395 109,186 54,593 163,780 81,890 40,945 122,836 61,418 30,709 92,128 46,064 23,032

More profiles

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