λ
Sigma Notebook

1,989,764

22 × 7 × 179 × 397
Abundant Even Composite

1,989,764 is even and not a perfect square. Its factorization is 2^2 × 7 × 179 × 397 and its 24 divisors sum to 4,011,840.

Prime Factor Structure

Factorization String 2^2 × 7 × 179 × 397
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 4,011,840
Proper Divisor Sum 2,022,076
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #1989721 ← → #1989769

Radix Representation

Decimal 1989764
Binary 111100101110010000100 (21 bits)
Octal 0o7456204
Hexadecimal 0x1E5C84

Divisor Catalog (24)

1 2 4 7 14 28 179 358 397 716 794 1,253 1,588 2,506 2,779 5,012 5,558 11,116 71,063 142,126 284,252 497,441 994,882 1,989,764

Collatz Trajectory (122 steps to reach 1)

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

1,989,764 994,882 497,441 1,492,324 746,162 373,081 1,119,244 559,622 279,811 839,434 419,717 1,259,152 629,576 314,788 157,394 78,697 236,092 118,046 59,023 177,070 88,535 265,606 132,803 398,410 199,205 597,616 298,808 149,404 74,702 37,351 112,054 56,027 168,082 84,041 252,124 126,062 63,031 189,094 94,547 283,642 141,821 425,464 212,732 106,366 53,183 159,550 79,775 239,326 119,663 358,990 179,495 538,486 269,243 807,730 403,865 1,211,596 605,798 302,899 908,698 454,349

More profiles

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