λ
Sigma Notebook

2,111,473

7 × 13 × 23203
Deficient Odd Composite

2,111,473 is odd and not a perfect square. Its factorization is 7 × 13 × 23203 and its 8 divisors sum to 2,598,848.

Prime Factor Structure

Factorization String 7 × 13 × 23203
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,598,848
Proper Divisor Sum 487,375
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #2111471 ← → #2111491

Radix Representation

Decimal 2111473
Binary 1000000011011111110001 (22 bits)
Octal 0o10033761
Hexadecimal 0x2037F1

Divisor Catalog (8)

1 7 13 91 23,203 162,421 301,639 2,111,473

Collatz Trajectory (153 steps to reach 1)

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

2,111,473 6,334,420 3,167,210 1,583,605 4,750,816 2,375,408 1,187,704 593,852 296,926 148,463 445,390 222,695 668,086 334,043 1,002,130 501,065 1,503,196 751,598 375,799 1,127,398 563,699 1,691,098 845,549 2,536,648 1,268,324 634,162 317,081 951,244 475,622 237,811 713,434 356,717 1,070,152 535,076 267,538 133,769 401,308 200,654 100,327 300,982 150,491 451,474 225,737 677,212 338,606 169,303 507,910 253,955 761,866 380,933 1,142,800 571,400 285,700 142,850 71,425 214,276 107,138 53,569 160,708 80,354

More profiles

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