λ
Sigma Notebook

1,075,685

5 × 132 × 19 × 67
Deficient Odd Composite

1,075,685 is odd and not a perfect square. Its factorization is 5 × 13^2 × 19 × 67 and its 24 divisors sum to 1,493,280.

Prime Factor Structure

Factorization String 5 × 13^2 × 19 × 67
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 1,493,280
Proper Divisor Sum 417,595
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #1075681 ← → #1075691

Radix Representation

Decimal 1075685
Binary 100000110100111100101 (21 bits)
Octal 0o4064745
Hexadecimal 0x1069E5

Divisor Catalog (24)

1 5 13 19 65 67 95 169 247 335 845 871 1,235 1,273 3,211 4,355 6,365 11,323 16,055 16,549 56,615 82,745 215,137 1,075,685

Collatz Trajectory (196 steps to reach 1)

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

1,075,685 3,227,056 1,613,528 806,764 403,382 201,691 605,074 302,537 907,612 453,806 226,903 680,710 340,355 1,021,066 510,533 1,531,600 765,800 382,900 191,450 95,725 287,176 143,588 71,794 35,897 107,692 53,846 26,923 80,770 40,385 121,156 60,578 30,289 90,868 45,434 22,717 68,152 34,076 17,038 8,519 25,558 12,779 38,338 19,169 57,508 28,754 14,377 43,132 21,566 10,783 32,350 16,175 48,526 24,263 72,790 36,395 109,186 54,593 163,780 81,890 40,945

More profiles

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