λ
Sigma Notebook

991,249

7 × 19 × 29 × 257
Deficient Odd Composite

991,249 is odd and not a perfect square. Its factorization is 7 × 19 × 29 × 257 and its 16 divisors sum to 1,238,400.

Prime Factor Structure

Factorization String 7 × 19 × 29 × 257
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,238,400
Proper Divisor Sum 247,151
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #991229 ← → #991261

Radix Representation

Decimal 991249
Binary 11110010000000010001 (20 bits)
Octal 0o3620021
Hexadecimal 0xF2011

Divisor Catalog (16)

1 7 19 29 133 203 257 551 1,799 3,857 4,883 7,453 34,181 52,171 141,607 991,249

Collatz Trajectory (121 steps to reach 1)

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

991,249 2,973,748 1,486,874 743,437 2,230,312 1,115,156 557,578 278,789 836,368 418,184 209,092 104,546 52,273 156,820 78,410 39,205 117,616 58,808 29,404 14,702 7,351 22,054 11,027 33,082 16,541 49,624 24,812 12,406 6,203 18,610 9,305 27,916 13,958 6,979 20,938 10,469 31,408 15,704 7,852 3,926 1,963 5,890 2,945 8,836 4,418 2,209 6,628 3,314 1,657 4,972 2,486 1,243 3,730 1,865 5,596 2,798 1,399 4,198 2,099 6,298

More profiles

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