λ
Sigma Notebook

2,580,837

3 × 7 × 59 × 2083
Deficient Odd Composite

2,580,837 is odd and not a perfect square. Its factorization is 3 × 7 × 59 × 2083 and its 16 divisors sum to 4,001,280.

Prime Factor Structure

Factorization String 3 × 7 × 59 × 2083
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,001,280
Proper Divisor Sum 1,420,443
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #2580811 ← → #2580839

Radix Representation

Decimal 2580837
Binary 1001110110000101100101 (22 bits)
Octal 0o11660545
Hexadecimal 0x276165

Divisor Catalog (16)

1 3 7 21 59 177 413 1,239 2,083 6,249 14,581 43,743 122,897 368,691 860,279 2,580,837

Collatz Trajectory (99 steps to reach 1)

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

2,580,837 7,742,512 3,871,256 1,935,628 967,814 483,907 1,451,722 725,861 2,177,584 1,088,792 544,396 272,198 136,099 408,298 204,149 612,448 306,224 153,112 76,556 38,278 19,139 57,418 28,709 86,128 43,064 21,532 10,766 5,383 16,150 8,075 24,226 12,113 36,340 18,170 9,085 27,256 13,628 6,814 3,407 10,222 5,111 15,334 7,667 23,002 11,501 34,504 17,252 8,626 4,313 12,940 6,470 3,235 9,706 4,853 14,560 7,280 3,640 1,820 910 455

More profiles

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