876,926

2 × 19 × 47 × 491

Starting at 876,926, the Collatz iteration reaches 1 after 294 steps. The first transition is 438463; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 19 × 47 × 491

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,416,960

Proper Divisor Sum 540,034

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #876913 ← → #876929

Radix Representation

Decimal	876926
Binary	11010110000101111110 (20 bits)
Octal	0o3260576
Hexadecimal	0xD617E

Divisor Catalog (16)

1 2 19 38 47 94 491 893 982 1,786 9,329 18,658 23,077 46,154 438,463 876,926

Collatz Trajectory (294 steps to reach 1)

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

876,926 438,463 1,315,390 657,695 1,973,086 986,543 2,959,630 1,479,815 4,439,446 2,219,723 6,659,170 3,329,585 9,988,756 4,994,378 2,497,189 7,491,568 3,745,784 1,872,892 936,446 468,223 1,404,670 702,335 2,107,006 1,053,503 3,160,510 1,580,255 4,740,766 2,370,383 7,111,150 3,555,575 10,666,726 5,333,363 16,000,090 8,000,045 24,000,136 12,000,068 6,000,034 3,000,017 9,000,052 4,500,026 2,250,013 6,750,040 3,375,020 1,687,510 843,755 2,531,266 1,265,633 3,796,900 1,898,450 949,225 2,847,676 1,423,838 711,919 2,135,758 1,067,879 3,203,638 1,601,819 4,805,458 2,402,729 7,208,188

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