λ
Sigma Notebook

2,208,974

2 × 37 × 29851
Deficient Even Composite

2,208,974 is even and not a perfect square. Its factorization is 2 × 37 × 29851 and its 8 divisors sum to 3,403,128.

Prime Factor Structure

Factorization String 2 × 37 × 29851
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,403,128
Proper Divisor Sum 1,194,154
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #2208949 ← → #2208977

Radix Representation

Decimal 2208974
Binary 1000011011010011001110 (22 bits)
Octal 0o10332316
Hexadecimal 0x21B4CE

Divisor Catalog (8)

1 2 37 74 29,851 59,702 1,104,487 2,208,974

Collatz Trajectory (210 steps to reach 1)

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

2,208,974 1,104,487 3,313,462 1,656,731 4,970,194 2,485,097 7,455,292 3,727,646 1,863,823 5,591,470 2,795,735 8,387,206 4,193,603 12,580,810 6,290,405 18,871,216 9,435,608 4,717,804 2,358,902 1,179,451 3,538,354 1,769,177 5,307,532 2,653,766 1,326,883 3,980,650 1,990,325 5,970,976 2,985,488 1,492,744 746,372 373,186 186,593 559,780 279,890 139,945 419,836 209,918 104,959 314,878 157,439 472,318 236,159 708,478 354,239 1,062,718 531,359 1,594,078 797,039 2,391,118 1,195,559 3,586,678 1,793,339 5,380,018 2,690,009 8,070,028 4,035,014 2,017,507 6,052,522 3,026,261

More profiles

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