3,954,782

2 × 13 × 37 × 4111

Starting at 3,954,782, the Collatz iteration reaches 1 after 123 steps. The first transition is 1977391; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 13 × 37 × 4111

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,562,752

Proper Divisor Sum 2,607,970

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #3954767 ← → #3954799

Radix Representation

Decimal	3954782
Binary	1111000101100001011110 (22 bits)
Octal	0o17054136
Hexadecimal	0x3C585E

Divisor Catalog (16)

1 2 13 26 37 74 481 962 4,111 8,222 53,443 106,886 152,107 304,214 1,977,391 3,954,782

Collatz Trajectory (123 steps to reach 1)

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

3,954,782 1,977,391 5,932,174 2,966,087 8,898,262 4,449,131 13,347,394 6,673,697 20,021,092 10,010,546 5,005,273 15,015,820 7,507,910 3,753,955 11,261,866 5,630,933 16,892,800 8,446,400 4,223,200 2,111,600 1,055,800 527,900 263,950 131,975 395,926 197,963 593,890 296,945 890,836 445,418 222,709 668,128 334,064 167,032 83,516 41,758 20,879 62,638 31,319 93,958 46,979 140,938 70,469 211,408 105,704 52,852 26,426 13,213 39,640 19,820 9,910 4,955 14,866 7,433 22,300 11,150 5,575 16,726 8,363 25,090

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