λ
Sigma Notebook

5,673,821

29 × 97 × 2017
Deficient Odd Composite

5,673,821 is odd and not a perfect square. Its factorization is 29 × 97 × 2017 and its 8 divisors sum to 5,932,920.

Prime Factor Structure

Factorization String 29 × 97 × 2017
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,932,920
Proper Divisor Sum 259,099
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #5673781 ← → #5673827

Radix Representation

Decimal 5673821
Binary 10101101001001101011101 (23 bits)
Octal 0o25511535
Hexadecimal 0x56935D

Divisor Catalog (8)

1 29 97 2,017 2,813 58,493 195,649 5,673,821

Collatz Trajectory (245 steps to reach 1)

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

5,673,821 17,021,464 8,510,732 4,255,366 2,127,683 6,383,050 3,191,525 9,574,576 4,787,288 2,393,644 1,196,822 598,411 1,795,234 897,617 2,692,852 1,346,426 673,213 2,019,640 1,009,820 504,910 252,455 757,366 378,683 1,136,050 568,025 1,704,076 852,038 426,019 1,278,058 639,029 1,917,088 958,544 479,272 239,636 119,818 59,909 179,728 89,864 44,932 22,466 11,233 33,700 16,850 8,425 25,276 12,638 6,319 18,958 9,479 28,438 14,219 42,658 21,329 63,988 31,994 15,997 47,992 23,996 11,998 5,999

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