λ
Sequence Observatory

780,326

2 × 101 × 3863
Deficient Even Composite

Starting at 780,326, the Collatz iteration reaches 1 after 162 steps. The first transition is 390163; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 101 × 3863
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,182,384
Proper Divisor Sum 402,058
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #780323 ← → #780343

Radix Representation

Decimal 780326
Binary 10111110100000100110 (20 bits)
Octal 0o2764046
Hexadecimal 0xBE826

Divisor Catalog (8)

1 2 101 202 3,863 7,726 390,163 780,326

Collatz Trajectory (162 steps to reach 1)

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

780,326 390,163 1,170,490 585,245 1,755,736 877,868 438,934 219,467 658,402 329,201 987,604 493,802 246,901 740,704 370,352 185,176 92,588 46,294 23,147 69,442 34,721 104,164 52,082 26,041 78,124 39,062 19,531 58,594 29,297 87,892 43,946 21,973 65,920 32,960 16,480 8,240 4,120 2,060 1,030 515 1,546 773 2,320 1,160 580 290 145 436 218 109 328 164 82 41 124 62 31 94 47 142

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