λ
Sigma Notebook

1,820,861

7 × 269 × 967
Deficient Odd Composite

1,820,861 is odd and not a perfect square. Its factorization is 7 × 269 × 967 and its 8 divisors sum to 2,090,880.

Prime Factor Structure

Factorization String 7 × 269 × 967
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,090,880
Proper Divisor Sum 270,019
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #1820857 ← → #1820869

Radix Representation

Decimal 1820861
Binary 110111100100010111101 (21 bits)
Octal 0o6744275
Hexadecimal 0x1BC8BD

Divisor Catalog (8)

1 7 269 967 1,883 6,769 260,123 1,820,861

Collatz Trajectory (233 steps to reach 1)

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

1,820,861 5,462,584 2,731,292 1,365,646 682,823 2,048,470 1,024,235 3,072,706 1,536,353 4,609,060 2,304,530 1,152,265 3,456,796 1,728,398 864,199 2,592,598 1,296,299 3,888,898 1,944,449 5,833,348 2,916,674 1,458,337 4,375,012 2,187,506 1,093,753 3,281,260 1,640,630 820,315 2,460,946 1,230,473 3,691,420 1,845,710 922,855 2,768,566 1,384,283 4,152,850 2,076,425 6,229,276 3,114,638 1,557,319 4,671,958 2,335,979 7,007,938 3,503,969 10,511,908 5,255,954 2,627,977 7,883,932 3,941,966 1,970,983 5,912,950 2,956,475 8,869,426 4,434,713 13,304,140 6,652,070 3,326,035 9,978,106 4,989,053 14,967,160

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