λ
Sequence Observatory

1,304,840

23 × 5 × 32621
Abundant Even Composite

Starting at 1,304,840, the Collatz iteration reaches 1 after 80 steps. The first transition is 652420; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 5 × 32621
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 2,935,980
Proper Divisor Sum 1,631,140
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #1304837 ← → #1304857

Radix Representation

Decimal 1304840
Binary 100111110100100001000 (21 bits)
Octal 0o4764410
Hexadecimal 0x13E908

Divisor Catalog (16)

1 2 4 5 8 10 20 40 32,621 65,242 130,484 163,105 260,968 326,210 652,420 1,304,840

Collatz Trajectory (80 steps to reach 1)

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

1,304,840 652,420 326,210 163,105 489,316 244,658 122,329 366,988 183,494 91,747 275,242 137,621 412,864 206,432 103,216 51,608 25,804 12,902 6,451 19,354 9,677 29,032 14,516 7,258 3,629 10,888 5,444 2,722 1,361 4,084 2,042 1,021 3,064 1,532 766 383 1,150 575 1,726 863 2,590 1,295 3,886 1,943 5,830 2,915 8,746 4,373 13,120 6,560 3,280 1,640 820 410 205 616 308 154 77 232

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