λ
Harmonic Matrix

2,691,855

32 × 5 × 41 × 1459
Deficient Odd Composite

2,691,855 has digital root 9. The neighboring primes are 2691853 and 2691893; its proper-divisor sum differs from the starting integer by -600,750.

Prime Factor Structure

Factorization String 3^2 × 5 × 41 × 1459
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 4,782,960
Proper Divisor Sum 2,091,105
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #2691853 ← → #2691893

Radix Representation

Decimal 2691855
Binary 1010010001001100001111 (22 bits)
Octal 0o12211417
Hexadecimal 0x29130F

Divisor Catalog (24)

1 3 5 9 15 41 45 123 205 369 615 1,459 1,845 4,377 7,295 13,131 21,885 59,819 65,655 179,457 299,095 538,371 897,285 2,691,855

Collatz Trajectory (231 steps to reach 1)

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

2,691,855 8,075,566 4,037,783 12,113,350 6,056,675 18,170,026 9,085,013 27,255,040 13,627,520 6,813,760 3,406,880 1,703,440 851,720 425,860 212,930 106,465 319,396 159,698 79,849 239,548 119,774 59,887 179,662 89,831 269,494 134,747 404,242 202,121 606,364 303,182 151,591 454,774 227,387 682,162 341,081 1,023,244 511,622 255,811 767,434 383,717 1,151,152 575,576 287,788 143,894 71,947 215,842 107,921 323,764 161,882 80,941 242,824 121,412 60,706 30,353 91,060 45,530 22,765 68,296 34,148 17,074

More profiles

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