λ
Sigma Notebook

1,629,627

3 × 41 × 13249
Deficient Odd Composite

1,629,627 is odd and not a perfect square. Its factorization is 3 × 41 × 13249 and its 8 divisors sum to 2,226,000.

Prime Factor Structure

Factorization String 3 × 41 × 13249
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,226,000
Proper Divisor Sum 596,373
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #1629623 ← → #1629643

Radix Representation

Decimal 1629627
Binary 110001101110110111011 (21 bits)
Octal 0o6156673
Hexadecimal 0x18DDBB

Divisor Catalog (8)

1 3 41 123 13,249 39,747 543,209 1,629,627

Collatz Trajectory (207 steps to reach 1)

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

1,629,627 4,888,882 2,444,441 7,333,324 3,666,662 1,833,331 5,499,994 2,749,997 8,249,992 4,124,996 2,062,498 1,031,249 3,093,748 1,546,874 773,437 2,320,312 1,160,156 580,078 290,039 870,118 435,059 1,305,178 652,589 1,957,768 978,884 489,442 244,721 734,164 367,082 183,541 550,624 275,312 137,656 68,828 34,414 17,207 51,622 25,811 77,434 38,717 116,152 58,076 29,038 14,519 43,558 21,779 65,338 32,669 98,008 49,004 24,502 12,251 36,754 18,377 55,132 27,566 13,783 41,350 20,675 62,026

More profiles

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