λ
Sigma Notebook

2,565,446

2 × 13 × 79 × 1249
Deficient Even Composite

2,565,446 is even and not a perfect square. Its factorization is 2 × 13 × 79 × 1249 and its 16 divisors sum to 4,200,000.

Prime Factor Structure

Factorization String 2 × 13 × 79 × 1249
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,200,000
Proper Divisor Sum 1,634,554
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #2565403 ← → #2565449

Radix Representation

Decimal 2565446
Binary 1001110010010101000110 (22 bits)
Octal 0o11622506
Hexadecimal 0x272546

Divisor Catalog (16)

1 2 13 26 79 158 1,027 1,249 2,054 2,498 16,237 32,474 98,671 197,342 1,282,723 2,565,446

Collatz Trajectory (130 steps to reach 1)

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

2,565,446 1,282,723 3,848,170 1,924,085 5,772,256 2,886,128 1,443,064 721,532 360,766 180,383 541,150 270,575 811,726 405,863 1,217,590 608,795 1,826,386 913,193 2,739,580 1,369,790 684,895 2,054,686 1,027,343 3,082,030 1,541,015 4,623,046 2,311,523 6,934,570 3,467,285 10,401,856 5,200,928 2,600,464 1,300,232 650,116 325,058 162,529 487,588 243,794 121,897 365,692 182,846 91,423 274,270 137,135 411,406 205,703 617,110 308,555 925,666 462,833 1,388,500 694,250 347,125 1,041,376 520,688 260,344 130,172 65,086 32,543 97,630

More profiles

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