λ
Sigma Notebook

1,721,093

11 × 47 × 3329
Deficient Odd Composite

1,721,093 is odd and not a perfect square. Its factorization is 11 × 47 × 3329 and its 8 divisors sum to 1,918,080.

Prime Factor Structure

Factorization String 11 × 47 × 3329
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,918,080
Proper Divisor Sum 196,987
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #1721081 ← → #1721123

Radix Representation

Decimal 1721093
Binary 110100100001100000101 (21 bits)
Octal 0o6441405
Hexadecimal 0x1A4305

Divisor Catalog (8)

1 11 47 517 3,329 36,619 156,463 1,721,093

Collatz Trajectory (189 steps to reach 1)

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

1,721,093 5,163,280 2,581,640 1,290,820 645,410 322,705 968,116 484,058 242,029 726,088 363,044 181,522 90,761 272,284 136,142 68,071 204,214 102,107 306,322 153,161 459,484 229,742 114,871 344,614 172,307 516,922 258,461 775,384 387,692 193,846 96,923 290,770 145,385 436,156 218,078 109,039 327,118 163,559 490,678 245,339 736,018 368,009 1,104,028 552,014 276,007 828,022 414,011 1,242,034 621,017 1,863,052 931,526 465,763 1,397,290 698,645 2,095,936 1,047,968 523,984 261,992 130,996 65,498

More profiles

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