λ
Sigma Notebook

1,016,823

3 × 19 × 17839
Deficient Odd Composite

1,016,823 is odd and not a perfect square. Its factorization is 3 × 19 × 17839 and its 8 divisors sum to 1,427,200.

Prime Factor Structure

Factorization String 3 × 19 × 17839
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,427,200
Proper Divisor Sum 410,377
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #1016789 ← → #1016839

Radix Representation

Decimal 1016823
Binary 11111000001111110111 (20 bits)
Octal 0o3701767
Hexadecimal 0xF83F7

Divisor Catalog (8)

1 3 19 57 17,839 53,517 338,941 1,016,823

Collatz Trajectory (82 steps to reach 1)

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

1,016,823 3,050,470 1,525,235 4,575,706 2,287,853 6,863,560 3,431,780 1,715,890 857,945 2,573,836 1,286,918 643,459 1,930,378 965,189 2,895,568 1,447,784 723,892 361,946 180,973 542,920 271,460 135,730 67,865 203,596 101,798 50,899 152,698 76,349 229,048 114,524 57,262 28,631 85,894 42,947 128,842 64,421 193,264 96,632 48,316 24,158 12,079 36,238 18,119 54,358 27,179 81,538 40,769 122,308 61,154 30,577 91,732 45,866 22,933 68,800 34,400 17,200 8,600 4,300 2,150 1,075

More profiles

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