λ
Integer Codex

3,313,689

3 × 73 × 15131
Deficient Odd Composite

For 3,313,689, the 8 positive divisors have a total of 4,479,072. Removing 3,313,689 leaves 1,165,383, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 73 × 15131
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,479,072
Proper Divisor Sum 1,165,383
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3313669 ← → #3313697

Radix Representation

Decimal 3313689
Binary 1100101001000000011001 (22 bits)
Octal 0o14510031
Hexadecimal 0x329019

Divisor Catalog (8)

1 3 73 219 15,131 45,393 1,104,563 3,313,689

Collatz Trajectory (177 steps to reach 1)

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

3,313,689 9,941,068 4,970,534 2,485,267 7,455,802 3,727,901 11,183,704 5,591,852 2,795,926 1,397,963 4,193,890 2,096,945 6,290,836 3,145,418 1,572,709 4,718,128 2,359,064 1,179,532 589,766 294,883 884,650 442,325 1,326,976 663,488 331,744 165,872 82,936 41,468 20,734 10,367 31,102 15,551 46,654 23,327 69,982 34,991 104,974 52,487 157,462 78,731 236,194 118,097 354,292 177,146 88,573 265,720 132,860 66,430 33,215 99,646 49,823 149,470 74,735 224,206 112,103 336,310 168,155 504,466 252,233 756,700

More profiles

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