λ
Sigma Notebook

2,707,929

32 × 7 × 53 × 811
Deficient Odd Composite

2,707,929 is odd and not a perfect square. Its factorization is 3^2 × 7 × 53 × 811 and its 24 divisors sum to 4,560,192.

Prime Factor Structure

Factorization String 3^2 × 7 × 53 × 811
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 4,560,192
Proper Divisor Sum 1,852,263
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #2707921 ← → #2707931

Radix Representation

Decimal 2707929
Binary 1010010101000111011001 (22 bits)
Octal 0o12250731
Hexadecimal 0x2951D9

Divisor Catalog (24)

1 3 7 9 21 53 63 159 371 477 811 1,113 2,433 3,339 5,677 7,299 17,031 42,983 51,093 128,949 300,881 386,847 902,643 2,707,929

Collatz Trajectory (156 steps to reach 1)

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

2,707,929 8,123,788 4,061,894 2,030,947 6,092,842 3,046,421 9,139,264 4,569,632 2,284,816 1,142,408 571,204 285,602 142,801 428,404 214,202 107,101 321,304 160,652 80,326 40,163 120,490 60,245 180,736 90,368 45,184 22,592 11,296 5,648 2,824 1,412 706 353 1,060 530 265 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430 215 646 323 970 485

More profiles

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