2,776,823

7 × 173 × 2293

Starting at 2,776,823, the Collatz iteration reaches 1 after 81 steps. The first transition is 8330470; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 7 × 173 × 2293

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 3,193,248

Proper Divisor Sum 416,425

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #2776817 ← → #2776841

Radix Representation

Decimal	2776823
Binary	1010100101111011110111 (22 bits)
Octal	0o12457367
Hexadecimal	0x2A5EF7

Divisor Catalog (8)

1 7 173 1,211 2,293 16,051 396,689 2,776,823

Collatz Trajectory (81 steps to reach 1)

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

2,776,823 8,330,470 4,165,235 12,495,706 6,247,853 18,743,560 9,371,780 4,685,890 2,342,945 7,028,836 3,514,418 1,757,209 5,271,628 2,635,814 1,317,907 3,953,722 1,976,861 5,930,584 2,965,292 1,482,646 741,323 2,223,970 1,111,985 3,335,956 1,667,978 833,989 2,501,968 1,250,984 625,492 312,746 156,373 469,120 234,560 117,280 58,640 29,320 14,660 7,330 3,665 10,996 5,498 2,749 8,248 4,124 2,062 1,031 3,094 1,547 4,642 2,321 6,964 3,482 1,741 5,224 2,612 1,306 653 1,960 980 490

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