2,821,743

3³ × 41 × 2549

Starting at 2,821,743, the Collatz iteration reaches 1 after 200 steps. The first transition is 8465230; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 41 × 2549

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 4,284,000

Proper Divisor Sum 1,462,257

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #2821733 ← → #2821759

Radix Representation

Decimal	2821743
Binary	1010110000111001101111 (22 bits)
Octal	0o12607157
Hexadecimal	0x2B0E6F

Divisor Catalog (16)

1 3 9 27 41 123 369 1,107 2,549 7,647 22,941 68,823 104,509 313,527 940,581 2,821,743

Collatz Trajectory (200 steps to reach 1)

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

2,821,743 8,465,230 4,232,615 12,697,846 6,348,923 19,046,770 9,523,385 28,570,156 14,285,078 7,142,539 21,427,618 10,713,809 32,141,428 16,070,714 8,035,357 24,106,072 12,053,036 6,026,518 3,013,259 9,039,778 4,519,889 13,559,668 6,779,834 3,389,917 10,169,752 5,084,876 2,542,438 1,271,219 3,813,658 1,906,829 5,720,488 2,860,244 1,430,122 715,061 2,145,184 1,072,592 536,296 268,148 134,074 67,037 201,112 100,556 50,278 25,139 75,418 37,709 113,128 56,564 28,282 14,141 42,424 21,212 10,606 5,303 15,910 7,955 23,866 11,933 35,800 17,900

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