λ
Sigma Notebook

1,228,721

13 × 47 × 2011
Deficient Odd Composite

1,228,721 is odd and not a perfect square. Its factorization is 13 × 47 × 2011 and its 8 divisors sum to 1,352,064.

Prime Factor Structure

Factorization String 13 × 47 × 2011
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,352,064
Proper Divisor Sum 123,343
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #1228693 ← → #1228741

Radix Representation

Decimal 1228721
Binary 100101011111110110001 (21 bits)
Octal 0o4537661
Hexadecimal 0x12BFB1

Divisor Catalog (8)

1 13 47 611 2,011 26,143 94,517 1,228,721

Collatz Trajectory (173 steps to reach 1)

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

1,228,721 3,686,164 1,843,082 921,541 2,764,624 1,382,312 691,156 345,578 172,789 518,368 259,184 129,592 64,796 32,398 16,199 48,598 24,299 72,898 36,449 109,348 54,674 27,337 82,012 41,006 20,503 61,510 30,755 92,266 46,133 138,400 69,200 34,600 17,300 8,650 4,325 12,976 6,488 3,244 1,622 811 2,434 1,217 3,652 1,826 913 2,740 1,370 685 2,056 1,028 514 257 772 386 193 580 290 145 436 218

More profiles

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