λ
Prime Ledger

3,313,876

22 × 47 × 17627
Deficient Even Composite

3,313,876 has the prime decomposition 2^2 × 47 × 17627. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 47 × 17627
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 5,923,008
Proper Divisor Sum 2,609,132
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #3313873 ← → #3313879

Radix Representation

Decimal 3313876
Binary 1100101001000011010100 (22 bits)
Octal 0o14510324
Hexadecimal 0x3290D4

Divisor Catalog (12)

1 2 4 47 94 188 17,627 35,254 70,508 828,469 1,656,938 3,313,876

Collatz Trajectory (32 steps to reach 1)

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

3,313,876 1,656,938 828,469 2,485,408 1,242,704 621,352 310,676 155,338 77,669 233,008 116,504 58,252 29,126 14,563 43,690 21,845 65,536 32,768 16,384 8,192 4,096 2,048 1,024 512 256 128 64 32 16 8 4 2 1

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