λ
Harmonic Matrix

3,718,182

2 × 3 × 13 × 73 × 653
Abundant Even Composite

3,718,182 has digital root 3. The neighboring primes are 3718181 and 3718207; its proper-divisor sum differs from the starting integer by 694,164.

Prime Factor Structure

Factorization String 2 × 3 × 13 × 73 × 653
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,130,528
Proper Divisor Sum 4,412,346
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3718181 ← → #3718207

Radix Representation

Decimal 3718182
Binary 1110001011110000100110 (22 bits)
Octal 0o16136046
Hexadecimal 0x38BC26

Divisor Catalog (32)

1 2 3 6 13 26 39 73 78 146 219 438 653 949 1,306 1,898 1,959 2,847 3,918 5,694 8,489 16,978 25,467 47,669 50,934 95,338 143,007 286,014 619,697 1,239,394 1,859,091 3,718,182

Collatz Trajectory (203 steps to reach 1)

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

3,718,182 1,859,091 5,577,274 2,788,637 8,365,912 4,182,956 2,091,478 1,045,739 3,137,218 1,568,609 4,705,828 2,352,914 1,176,457 3,529,372 1,764,686 882,343 2,647,030 1,323,515 3,970,546 1,985,273 5,955,820 2,977,910 1,488,955 4,466,866 2,233,433 6,700,300 3,350,150 1,675,075 5,025,226 2,512,613 7,537,840 3,768,920 1,884,460 942,230 471,115 1,413,346 706,673 2,120,020 1,060,010 530,005 1,590,016 795,008 397,504 198,752 99,376 49,688 24,844 12,422 6,211 18,634 9,317 27,952 13,976 6,988 3,494 1,747 5,242 2,621 7,864 3,932

More profiles

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