λ
Harmonic Matrix

2,673,611

43 × 97 × 641
Deficient Odd Composite

2,673,611 has digital root 8. The neighboring primes are 2673599 and 2673617; its proper-divisor sum differs from the starting integer by -2,578,918.

Prime Factor Structure

Factorization String 43 × 97 × 641
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,768,304
Proper Divisor Sum 94,693
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #2673599 ← → #2673617

Radix Representation

Decimal 2673611
Binary 1010001100101111001011 (22 bits)
Octal 0o12145713
Hexadecimal 0x28CBCB

Divisor Catalog (8)

1 43 97 641 4,171 27,563 62,177 2,673,611

Collatz Trajectory (187 steps to reach 1)

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

2,673,611 8,020,834 4,010,417 12,031,252 6,015,626 3,007,813 9,023,440 4,511,720 2,255,860 1,127,930 563,965 1,691,896 845,948 422,974 211,487 634,462 317,231 951,694 475,847 1,427,542 713,771 2,141,314 1,070,657 3,211,972 1,605,986 802,993 2,408,980 1,204,490 602,245 1,806,736 903,368 451,684 225,842 112,921 338,764 169,382 84,691 254,074 127,037 381,112 190,556 95,278 47,639 142,918 71,459 214,378 107,189 321,568 160,784 80,392 40,196 20,098 10,049 30,148 15,074 7,537 22,612 11,306 5,653 16,960

More profiles

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