λ
Sigma Notebook

2,133,397

7 × 304771
Deficient Odd Composite

2,133,397 is odd and not a perfect square. Its factorization is 7 × 304771 and its 4 divisors sum to 2,438,176.

Prime Factor Structure

Factorization String 7 × 304771
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 2,438,176
Proper Divisor Sum 304,779
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #2133379 ← → #2133403

Radix Representation

Decimal 2133397
Binary 1000001000110110010101 (22 bits)
Octal 0o10106625
Hexadecimal 0x208D95

Divisor Catalog (4)

1 7 304,771 2,133,397

Collatz Trajectory (60 steps to reach 1)

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

2,133,397 6,400,192 3,200,096 1,600,048 800,024 400,012 200,006 100,003 300,010 150,005 450,016 225,008 112,504 56,252 28,126 14,063 42,190 21,095 63,286 31,643 94,930 47,465 142,396 71,198 35,599 106,798 53,399 160,198 80,099 240,298 120,149 360,448 180,224 90,112 45,056 22,528 11,264 5,632 2,816 1,408 704 352 176 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2

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