λ
Integer Codex

2,133,931

443 × 4817
Deficient Odd Composite

For 2,133,931, the 4 positive divisors have a total of 2,139,192. Removing 2,133,931 leaves 5,261, which gives the deficient classification.

Prime Factor Structure

Factorization String 443 × 4817
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 2,139,192
Proper Divisor Sum 5,261
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #2133899 ← → #2133949

Radix Representation

Decimal 2133931
Binary 1000001000111110101011 (22 bits)
Octal 0o10107653
Hexadecimal 0x208FAB

Divisor Catalog (4)

1 443 4,817 2,133,931

Collatz Trajectory (166 steps to reach 1)

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

2,133,931 6,401,794 3,200,897 9,602,692 4,801,346 2,400,673 7,202,020 3,601,010 1,800,505 5,401,516 2,700,758 1,350,379 4,051,138 2,025,569 6,076,708 3,038,354 1,519,177 4,557,532 2,278,766 1,139,383 3,418,150 1,709,075 5,127,226 2,563,613 7,690,840 3,845,420 1,922,710 961,355 2,884,066 1,442,033 4,326,100 2,163,050 1,081,525 3,244,576 1,622,288 811,144 405,572 202,786 101,393 304,180 152,090 76,045 228,136 114,068 57,034 28,517 85,552 42,776 21,388 10,694 5,347 16,042 8,021 24,064 12,032 6,016 3,008 1,504 752 376

More profiles

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