λ
Sigma Notebook

1,248,065

5 × 7 × 132 × 211
Deficient Odd Composite

1,248,065 is odd and not a perfect square. Its factorization is 5 × 7 × 13^2 × 211 and its 24 divisors sum to 1,862,208.

Prime Factor Structure

Factorization String 5 × 7 × 13^2 × 211
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 1,862,208
Proper Divisor Sum 614,143
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #1248061 ← → #1248083

Radix Representation

Decimal 1248065
Binary 100110000101101000001 (21 bits)
Octal 0o4605501
Hexadecimal 0x130B41

Divisor Catalog (24)

1 5 7 13 35 65 91 169 211 455 845 1,055 1,183 1,477 2,743 5,915 7,385 13,715 19,201 35,659 96,005 178,295 249,613 1,248,065

Collatz Trajectory (54 steps to reach 1)

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

1,248,065 3,744,196 1,872,098 936,049 2,808,148 1,404,074 702,037 2,106,112 1,053,056 526,528 263,264 131,632 65,816 32,908 16,454 8,227 24,682 12,341 37,024 18,512 9,256 4,628 2,314 1,157 3,472 1,736 868 434 217 652 326 163 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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