3,279,628

2² × 11 × 19 × 3923

Starting at 3,279,628, the Collatz iteration reaches 1 after 208 steps. The first transition is 1639814; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 11 × 19 × 3923

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 6,592,320

Proper Divisor Sum 3,312,692

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #3279607 ← → #3279641

Radix Representation

Decimal	3279628
Binary	1100100000101100001100 (22 bits)
Octal	0o14405414
Hexadecimal	0x320B0C

Divisor Catalog (24)

1 2 4 11 19 22 38 44 76 209 418 836 3,923 7,846 15,692 43,153 74,537 86,306 149,074 172,612 298,148 819,907 1,639,814 3,279,628

Collatz Trajectory (208 steps to reach 1)

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

3,279,628 1,639,814 819,907 2,459,722 1,229,861 3,689,584 1,844,792 922,396 461,198 230,599 691,798 345,899 1,037,698 518,849 1,556,548 778,274 389,137 1,167,412 583,706 291,853 875,560 437,780 218,890 109,445 328,336 164,168 82,084 41,042 20,521 61,564 30,782 15,391 46,174 23,087 69,262 34,631 103,894 51,947 155,842 77,921 233,764 116,882 58,441 175,324 87,662 43,831 131,494 65,747 197,242 98,621 295,864 147,932 73,966 36,983 110,950 55,475 166,426 83,213 249,640 124,820

← Previous Integer #3,279,627 Browse Full Index Next Integer #3,279,629 →