λ
Sequence Observatory

1,764,080

24 × 5 × 22051
Abundant Even Composite

Starting at 1,764,080, the Collatz iteration reaches 1 after 145 steps. The first transition is 882040; the starting value is even with 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 5 × 22051
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 4,101,672
Proper Divisor Sum 2,337,592
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #1764071 ← → #1764089

Radix Representation

Decimal 1764080
Binary 110101110101011110000 (21 bits)
Octal 0o6565360
Hexadecimal 0x1AEAF0

Divisor Catalog (20)

1 2 4 5 8 10 16 20 40 80 22,051 44,102 88,204 110,255 176,408 220,510 352,816 441,020 882,040 1,764,080

Collatz Trajectory (145 steps to reach 1)

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

1,764,080 882,040 441,020 220,510 110,255 330,766 165,383 496,150 248,075 744,226 372,113 1,116,340 558,170 279,085 837,256 418,628 209,314 104,657 313,972 156,986 78,493 235,480 117,740 58,870 29,435 88,306 44,153 132,460 66,230 33,115 99,346 49,673 149,020 74,510 37,255 111,766 55,883 167,650 83,825 251,476 125,738 62,869 188,608 94,304 47,152 23,576 11,788 5,894 2,947 8,842 4,421 13,264 6,632 3,316 1,658 829 2,488 1,244 622 311

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