λ
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780,678

2 × 34 × 61 × 79
Abundant Even Composite

780,678 factors as 2 × 3^4 × 61 × 79. Its 40 positive divisors give a proper-divisor sum of 1,019,802, so this integer is abundant. The Collatz stopping time is 131 steps.

Prime Factor Structure

Factorization String 2 × 3^4 × 61 × 79
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 1,800,480
Proper Divisor Sum 1,019,802
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #780671 ← → #780679

Radix Representation

Decimal 780678
Binary 10111110100110000110 (20 bits)
Octal 0o2764606
Hexadecimal 0xBE986

Divisor Catalog (40)

1 2 3 6 9 18 27 54 61 79 81 122 158 162 183 237 366 474 549 711 1,098 1,422 1,647 2,133 3,294 4,266 4,819 4,941 6,399 9,638 9,882 12,798 14,457 28,914 43,371 86,742 130,113 260,226 390,339 780,678

Collatz Trajectory (131 steps to reach 1)

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

780,678 390,339 1,171,018 585,509 1,756,528 878,264 439,132 219,566 109,783 329,350 164,675 494,026 247,013 741,040 370,520 185,260 92,630 46,315 138,946 69,473 208,420 104,210 52,105 156,316 78,158 39,079 117,238 58,619 175,858 87,929 263,788 131,894 65,947 197,842 98,921 296,764 148,382 74,191 222,574 111,287 333,862 166,931 500,794 250,397 751,192 375,596 187,798 93,899 281,698 140,849 422,548 211,274 105,637 316,912 158,456 79,228 39,614 19,807 59,422 29,711

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