λ
Sigma Notebook

843,051

3 × 11 × 59 × 433
Deficient Odd Composite

843,051 is odd and not a perfect square. Its factorization is 3 × 11 × 59 × 433 and its 16 divisors sum to 1,249,920.

Prime Factor Structure

Factorization String 3 × 11 × 59 × 433
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,249,920
Proper Divisor Sum 406,869
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #843043 ← → #843067

Radix Representation

Decimal 843051
Binary 11001101110100101011 (20 bits)
Octal 0o3156453
Hexadecimal 0xCDD2B

Divisor Catalog (16)

1 3 11 33 59 177 433 649 1,299 1,947 4,763 14,289 25,547 76,641 281,017 843,051

Collatz Trajectory (131 steps to reach 1)

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

843,051 2,529,154 1,264,577 3,793,732 1,896,866 948,433 2,845,300 1,422,650 711,325 2,133,976 1,066,988 533,494 266,747 800,242 400,121 1,200,364 600,182 300,091 900,274 450,137 1,350,412 675,206 337,603 1,012,810 506,405 1,519,216 759,608 379,804 189,902 94,951 284,854 142,427 427,282 213,641 640,924 320,462 160,231 480,694 240,347 721,042 360,521 1,081,564 540,782 270,391 811,174 405,587 1,216,762 608,381 1,825,144 912,572 456,286 228,143 684,430 342,215 1,026,646 513,323 1,539,970 769,985 2,309,956 1,154,978

More profiles

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