λ
Sigma Notebook

3,317,025

3 × 52 × 47 × 941
Deficient Odd Composite

3,317,025 is odd and not a perfect square. Its factorization is 3 × 5^2 × 47 × 941 and its 24 divisors sum to 5,606,784.

Prime Factor Structure

Factorization String 3 × 5^2 × 47 × 941
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,606,784
Proper Divisor Sum 2,289,759
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #3317021 ← → #3317033

Radix Representation

Decimal 3317025
Binary 1100101001110100100001 (22 bits)
Octal 0o14516441
Hexadecimal 0x329D21

Divisor Catalog (24)

1 3 5 15 25 47 75 141 235 705 941 1,175 2,823 3,525 4,705 14,115 23,525 44,227 70,575 132,681 221,135 663,405 1,105,675 3,317,025

Collatz Trajectory (115 steps to reach 1)

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

3,317,025 9,951,076 4,975,538 2,487,769 7,463,308 3,731,654 1,865,827 5,597,482 2,798,741 8,396,224 4,198,112 2,099,056 1,049,528 524,764 262,382 131,191 393,574 196,787 590,362 295,181 885,544 442,772 221,386 110,693 332,080 166,040 83,020 41,510 20,755 62,266 31,133 93,400 46,700 23,350 11,675 35,026 17,513 52,540 26,270 13,135 39,406 19,703 59,110 29,555 88,666 44,333 133,000 66,500 33,250 16,625 49,876 24,938 12,469 37,408 18,704 9,352 4,676 2,338 1,169 3,508

More profiles

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