λ
Sigma Notebook

2,199,555

34 × 5 × 5431
Deficient Odd Composite

2,199,555 is odd and not a perfect square. Its factorization is 3^4 × 5 × 5431 and its 20 divisors sum to 3,943,632.

Prime Factor Structure

Factorization String 3^4 × 5 × 5431
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 3,943,632
Proper Divisor Sum 1,744,077
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #2199529 ← → #2199577

Radix Representation

Decimal 2199555
Binary 1000011001000000000011 (22 bits)
Octal 0o10310003
Hexadecimal 0x219003

Divisor Catalog (20)

1 3 5 9 15 27 45 81 135 405 5,431 16,293 27,155 48,879 81,465 146,637 244,395 439,911 733,185 2,199,555

Collatz Trajectory (179 steps to reach 1)

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

2,199,555 6,598,666 3,299,333 9,898,000 4,949,000 2,474,500 1,237,250 618,625 1,855,876 927,938 463,969 1,391,908 695,954 347,977 1,043,932 521,966 260,983 782,950 391,475 1,174,426 587,213 1,761,640 880,820 440,410 220,205 660,616 330,308 165,154 82,577 247,732 123,866 61,933 185,800 92,900 46,450 23,225 69,676 34,838 17,419 52,258 26,129 78,388 39,194 19,597 58,792 29,396 14,698 7,349 22,048 11,024 5,512 2,756 1,378 689 2,068 1,034 517 1,552 776 388

More profiles

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