λ
Sigma Notebook

3,333,463

7 × 29 × 16421
Deficient Odd Composite

3,333,463 is odd and not a perfect square. Its factorization is 7 × 29 × 16421 and its 8 divisors sum to 3,941,280.

Prime Factor Structure

Factorization String 7 × 29 × 16421
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,941,280
Proper Divisor Sum 607,817
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #3333439 ← → #3333469

Radix Representation

Decimal 3333463
Binary 1100101101110101010111 (22 bits)
Octal 0o14556527
Hexadecimal 0x32DD57

Divisor Catalog (8)

1 7 29 203 16,421 114,947 476,209 3,333,463

Collatz Trajectory (164 steps to reach 1)

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

3,333,463 10,000,390 5,000,195 15,000,586 7,500,293 22,500,880 11,250,440 5,625,220 2,812,610 1,406,305 4,218,916 2,109,458 1,054,729 3,164,188 1,582,094 791,047 2,373,142 1,186,571 3,559,714 1,779,857 5,339,572 2,669,786 1,334,893 4,004,680 2,002,340 1,001,170 500,585 1,501,756 750,878 375,439 1,126,318 563,159 1,689,478 844,739 2,534,218 1,267,109 3,801,328 1,900,664 950,332 475,166 237,583 712,750 356,375 1,069,126 534,563 1,603,690 801,845 2,405,536 1,202,768 601,384 300,692 150,346 75,173 225,520 112,760 56,380 28,190 14,095 42,286 21,143

More profiles

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