λ
Integer Codex

852,843

3 × 67 × 4243
Deficient Odd Composite

For 852,843, the 8 positive divisors have a total of 1,154,368. Removing 852,843 leaves 301,525, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 67 × 4243
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,154,368
Proper Divisor Sum 301,525
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #852833 ← → #852847

Radix Representation

Decimal 852843
Binary 11010000001101101011 (20 bits)
Octal 0o3201553
Hexadecimal 0xD036B

Divisor Catalog (8)

1 3 67 201 4,243 12,729 284,281 852,843

Collatz Trajectory (82 steps to reach 1)

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

852,843 2,558,530 1,279,265 3,837,796 1,918,898 959,449 2,878,348 1,439,174 719,587 2,158,762 1,079,381 3,238,144 1,619,072 809,536 404,768 202,384 101,192 50,596 25,298 12,649 37,948 18,974 9,487 28,462 14,231 42,694 21,347 64,042 32,021 96,064 48,032 24,016 12,008 6,004 3,002 1,501 4,504 2,252 1,126 563 1,690 845 2,536 1,268 634 317 952 476 238 119 358 179 538 269 808 404 202 101 304 152

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