λ
Sigma Notebook

2,909,977

7 × 199 × 2089
Deficient Odd Composite

2,909,977 is odd and not a perfect square. Its factorization is 7 × 199 × 2089 and its 8 divisors sum to 3,344,000.

Prime Factor Structure

Factorization String 7 × 199 × 2089
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,344,000
Proper Divisor Sum 434,023
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #2909971 ← → #2909981

Radix Representation

Decimal 2909977
Binary 1011000110011100011001 (22 bits)
Octal 0o13063431
Hexadecimal 0x2C6719

Divisor Catalog (8)

1 7 199 1,393 2,089 14,623 415,711 2,909,977

Collatz Trajectory (138 steps to reach 1)

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

2,909,977 8,729,932 4,364,966 2,182,483 6,547,450 3,273,725 9,821,176 4,910,588 2,455,294 1,227,647 3,682,942 1,841,471 5,524,414 2,762,207 8,286,622 4,143,311 12,429,934 6,214,967 18,644,902 9,322,451 27,967,354 13,983,677 41,951,032 20,975,516 10,487,758 5,243,879 15,731,638 7,865,819 23,597,458 11,798,729 35,396,188 17,698,094 8,849,047 26,547,142 13,273,571 39,820,714 19,910,357 59,731,072 29,865,536 14,932,768 7,466,384 3,733,192 1,866,596 933,298 466,649 1,399,948 699,974 349,987 1,049,962 524,981 1,574,944 787,472 393,736 196,868 98,434 49,217 147,652 73,826 36,913 110,740

More profiles

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