λ
Math Directory

1,726,449

3 × 23 × 131 × 191
Deficient Odd Composite

1,726,449 factors as 3 × 23 × 131 × 191. Its 16 positive divisors give a proper-divisor sum of 706,575, so this integer is deficient. The Collatz stopping time is 158 steps.

Prime Factor Structure

Factorization String 3 × 23 × 131 × 191
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 2,433,024
Proper Divisor Sum 706,575
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #1726447 ← → #1726453

Radix Representation

Decimal 1726449
Binary 110100101011111110001 (21 bits)
Octal 0o6453761
Hexadecimal 0x1A57F1

Divisor Catalog (16)

1 3 23 69 131 191 393 573 3,013 4,393 9,039 13,179 25,021 75,063 575,483 1,726,449

Collatz Trajectory (158 steps to reach 1)

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

1,726,449 5,179,348 2,589,674 1,294,837 3,884,512 1,942,256 971,128 485,564 242,782 121,391 364,174 182,087 546,262 273,131 819,394 409,697 1,229,092 614,546 307,273 921,820 460,910 230,455 691,366 345,683 1,037,050 518,525 1,555,576 777,788 388,894 194,447 583,342 291,671 875,014 437,507 1,312,522 656,261 1,968,784 984,392 492,196 246,098 123,049 369,148 184,574 92,287 276,862 138,431 415,294 207,647 622,942 311,471 934,414 467,207 1,401,622 700,811 2,102,434 1,051,217 3,153,652 1,576,826 788,413 2,365,240

More profiles

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