λ
Sequence Observatory

1,620,510

2 × 3 × 5 × 19 × 2843
Abundant Even Composite

Starting at 1,620,510, the Collatz iteration reaches 1 after 88 steps. The first transition is 810255; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 19 × 2843
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 4,095,360
Proper Divisor Sum 2,474,850
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #1620497 ← → #1620517

Radix Representation

Decimal 1620510
Binary 110001011101000011110 (21 bits)
Octal 0o6135036
Hexadecimal 0x18BA1E

Divisor Catalog (32)

1 2 3 5 6 10 15 19 30 38 57 95 114 190 285 570 2,843 5,686 8,529 14,215 17,058 28,430 42,645 54,017 85,290 108,034 162,051 270,085 324,102 540,170 810,255 1,620,510

Collatz Trajectory (88 steps to reach 1)

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

1,620,510 810,255 2,430,766 1,215,383 3,646,150 1,823,075 5,469,226 2,734,613 8,203,840 4,101,920 2,050,960 1,025,480 512,740 256,370 128,185 384,556 192,278 96,139 288,418 144,209 432,628 216,314 108,157 324,472 162,236 81,118 40,559 121,678 60,839 182,518 91,259 273,778 136,889 410,668 205,334 102,667 308,002 154,001 462,004 231,002 115,501 346,504 173,252 86,626 43,313 129,940 64,970 32,485 97,456 48,728 24,364 12,182 6,091 18,274 9,137 27,412 13,706 6,853 20,560 10,280

More profiles

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