λ
Sigma Notebook

2,248,059

3 × 113 × 563
Deficient Odd Composite

2,248,059 is odd and not a perfect square. Its factorization is 3 × 11^3 × 563 and its 16 divisors sum to 3,302,784.

Prime Factor Structure

Factorization String 3 × 11^3 × 563
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,302,784
Proper Divisor Sum 1,054,725
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2248039 ← → #2248067

Radix Representation

Decimal 2248059
Binary 1000100100110101111011 (22 bits)
Octal 0o10446573
Hexadecimal 0x224D7B

Divisor Catalog (16)

1 3 11 33 121 363 563 1,331 1,689 3,993 6,193 18,579 68,123 204,369 749,353 2,248,059

Collatz Trajectory (135 steps to reach 1)

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

2,248,059 6,744,178 3,372,089 10,116,268 5,058,134 2,529,067 7,587,202 3,793,601 11,380,804 5,690,402 2,845,201 8,535,604 4,267,802 2,133,901 6,401,704 3,200,852 1,600,426 800,213 2,400,640 1,200,320 600,160 300,080 150,040 75,020 37,510 18,755 56,266 28,133 84,400 42,200 21,100 10,550 5,275 15,826 7,913 23,740 11,870 5,935 17,806 8,903 26,710 13,355 40,066 20,033 60,100 30,050 15,025 45,076 22,538 11,269 33,808 16,904 8,452 4,226 2,113 6,340 3,170 1,585 4,756 2,378

More profiles

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