3,964,394

2 × 7³ × 5779

Starting at 3,964,394, the Collatz iteration reaches 1 after 167 steps. The first transition is 1982197; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 7^3 × 5779

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,936,000

Proper Divisor Sum 2,971,606

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #3964393 ← → #3964397

Radix Representation

Decimal	3964394
Binary	1111000111110111101010 (22 bits)
Octal	0o17076752
Hexadecimal	0x3C7DEA

Divisor Catalog (16)

1 2 7 14 49 98 343 686 5,779 11,558 40,453 80,906 283,171 566,342 1,982,197 3,964,394

Collatz Trajectory (167 steps to reach 1)

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

3,964,394 1,982,197 5,946,592 2,973,296 1,486,648 743,324 371,662 185,831 557,494 278,747 836,242 418,121 1,254,364 627,182 313,591 940,774 470,387 1,411,162 705,581 2,116,744 1,058,372 529,186 264,593 793,780 396,890 198,445 595,336 297,668 148,834 74,417 223,252 111,626 55,813 167,440 83,720 41,860 20,930 10,465 31,396 15,698 7,849 23,548 11,774 5,887 17,662 8,831 26,494 13,247 39,742 19,871 59,614 29,807 89,422 44,711 134,134 67,067 201,202 100,601 301,804 150,902

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