λ
Sigma Notebook

2,093,771

17 × 29 × 31 × 137
Deficient Odd Composite

2,093,771 is odd and not a perfect square. Its factorization is 17 × 29 × 31 × 137 and its 16 divisors sum to 2,384,640.

Prime Factor Structure

Factorization String 17 × 29 × 31 × 137
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 2,384,640
Proper Divisor Sum 290,869
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #2093761 ← → #2093783

Radix Representation

Decimal 2093771
Binary 111111111001011001011 (21 bits)
Octal 0o7771313
Hexadecimal 0x1FF2CB

Divisor Catalog (16)

1 17 29 31 137 493 527 899 2,329 3,973 4,247 15,283 67,541 72,199 123,163 2,093,771

Collatz Trajectory (135 steps to reach 1)

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

2,093,771 6,281,314 3,140,657 9,421,972 4,710,986 2,355,493 7,066,480 3,533,240 1,766,620 883,310 441,655 1,324,966 662,483 1,987,450 993,725 2,981,176 1,490,588 745,294 372,647 1,117,942 558,971 1,676,914 838,457 2,515,372 1,257,686 628,843 1,886,530 943,265 2,829,796 1,414,898 707,449 2,122,348 1,061,174 530,587 1,591,762 795,881 2,387,644 1,193,822 596,911 1,790,734 895,367 2,686,102 1,343,051 4,029,154 2,014,577 6,043,732 3,021,866 1,510,933 4,532,800 2,266,400 1,133,200 566,600 283,300 141,650 70,825 212,476 106,238 53,119 159,358 79,679

More profiles

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