3,099,720

2³ × 3 × 5 × 13 × 1987

Starting at 3,099,720, the Collatz iteration reaches 1 after 164 steps. The first transition is 1549860; the starting value is even with 64 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 13 × 1987

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 10,019,520

Proper Divisor Sum 6,919,800

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #3099713 ← → #3099727

Radix Representation

Decimal	3099720
Binary	1011110100110001001000 (22 bits)
Octal	0o13646110
Hexadecimal	0x2F4C48

Divisor Catalog (60 of 64)

1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1,560 1,987 3,974 5,961 7,948 9,935 11,922 15,896 19,870 23,844 25,831 29,805 39,740 47,688 51,662 59,610 77,493 79,480 103,324 119,220 129,155 154,986 206,648 238,440 258,310 309,972 387,465 516,620 619,944

Collatz Trajectory (164 steps to reach 1)

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

3,099,720 1,549,860 774,930 387,465 1,162,396 581,198 290,599 871,798 435,899 1,307,698 653,849 1,961,548 980,774 490,387 1,471,162 735,581 2,206,744 1,103,372 551,686 275,843 827,530 413,765 1,241,296 620,648 310,324 155,162 77,581 232,744 116,372 58,186 29,093 87,280 43,640 21,820 10,910 5,455 16,366 8,183 24,550 12,275 36,826 18,413 55,240 27,620 13,810 6,905 20,716 10,358 5,179 15,538 7,769 23,308 11,654 5,827 17,482 8,741 26,224 13,112 6,556 3,278

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