λ
Sigma Notebook

2,985,327

32 × 89 × 3727
Deficient Odd Composite

2,985,327 is odd and not a perfect square. Its factorization is 3^2 × 89 × 3727 and its 12 divisors sum to 4,361,760.

Prime Factor Structure

Factorization String 3^2 × 89 × 3727
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 4,361,760
Proper Divisor Sum 1,376,433
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #2985317 ← → #2985329

Radix Representation

Decimal 2985327
Binary 1011011000110101101111 (22 bits)
Octal 0o13306557
Hexadecimal 0x2D8D6F

Divisor Catalog (12)

1 3 9 89 267 801 3,727 11,181 33,543 331,703 995,109 2,985,327

Collatz Trajectory (213 steps to reach 1)

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

2,985,327 8,955,982 4,477,991 13,433,974 6,716,987 20,150,962 10,075,481 30,226,444 15,113,222 7,556,611 22,669,834 11,334,917 34,004,752 17,002,376 8,501,188 4,250,594 2,125,297 6,375,892 3,187,946 1,593,973 4,781,920 2,390,960 1,195,480 597,740 298,870 149,435 448,306 224,153 672,460 336,230 168,115 504,346 252,173 756,520 378,260 189,130 94,565 283,696 141,848 70,924 35,462 17,731 53,194 26,597 79,792 39,896 19,948 9,974 4,987 14,962 7,481 22,444 11,222 5,611 16,834 8,417 25,252 12,626 6,313 18,940

More profiles

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