2,778,836

2² × 199 × 3491

2,778,836 factors as 2^2 × 199 × 3491. Its 12 positive divisors give a proper-divisor sum of 2,109,964, so this integer is deficient. The Collatz stopping time is 112 steps.

Prime Factor Structure

Factorization String 2^2 × 199 × 3491

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,888,800

Proper Divisor Sum 2,109,964

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #2778833 ← → #2778851

Radix Representation

Decimal	2778836
Binary	1010100110011011010100 (22 bits)
Octal	0o12463324
Hexadecimal	0x2A66D4

Divisor Catalog (12)

1 2 4 199 398 796 3,491 6,982 13,964 694,709 1,389,418 2,778,836

Collatz Trajectory (112 steps to reach 1)

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

2,778,836 1,389,418 694,709 2,084,128 1,042,064 521,032 260,516 130,258 65,129 195,388 97,694 48,847 146,542 73,271 219,814 109,907 329,722 164,861 494,584 247,292 123,646 61,823 185,470 92,735 278,206 139,103 417,310 208,655 625,966 312,983 938,950 469,475 1,408,426 704,213 2,112,640 1,056,320 528,160 264,080 132,040 66,020 33,010 16,505 49,516 24,758 12,379 37,138 18,569 55,708 27,854 13,927 41,782 20,891 62,674 31,337 94,012 47,006 23,503 70,510 35,255 105,766

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