λ
Sigma Notebook

1,632,826

2 × 13 × 62801
Deficient Even Composite

1,632,826 is even and not a perfect square. Its factorization is 2 × 13 × 62801 and its 8 divisors sum to 2,637,684.

Prime Factor Structure

Factorization String 2 × 13 × 62801
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,637,684
Proper Divisor Sum 1,004,858
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #1632821 ← → #1632853

Radix Representation

Decimal 1632826
Binary 110001110101000111010 (21 bits)
Octal 0o6165072
Hexadecimal 0x18EA3A

Divisor Catalog (8)

1 2 13 26 62,801 125,602 816,413 1,632,826

Collatz Trajectory (207 steps to reach 1)

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

1,632,826 816,413 2,449,240 1,224,620 612,310 306,155 918,466 459,233 1,377,700 688,850 344,425 1,033,276 516,638 258,319 774,958 387,479 1,162,438 581,219 1,743,658 871,829 2,615,488 1,307,744 653,872 326,936 163,468 81,734 40,867 122,602 61,301 183,904 91,952 45,976 22,988 11,494 5,747 17,242 8,621 25,864 12,932 6,466 3,233 9,700 4,850 2,425 7,276 3,638 1,819 5,458 2,729 8,188 4,094 2,047 6,142 3,071 9,214 4,607 13,822 6,911 20,734 10,367

More profiles

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