λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,426,080

8,426,080

25 × 5 × 13 × 4051
Abundant Even Composite

8,426,080 factors as 2^5 × 5 × 13 × 4051. Its 48 positive divisors give a proper-divisor sum of 13,017,104, so this integer is abundant. The Collatz stopping time is 168 steps.

Prime Factor Structure

Factorization String 2^5 × 5 × 13 × 4051
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 21,443,184
Proper Divisor Sum 13,017,104
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #8426059 ← → #8426087

Radix Representation

Decimal 8426080
Binary 100000001001001001100000 (24 bits)
Octal 0o40111140
Hexadecimal 0x809260

Divisor Catalog (48)

1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1,040 2,080 4,051 8,102 16,204 20,255 32,408 40,510 52,663 64,816 81,020 105,326 129,632 162,040 210,652 263,315 324,080 421,304 526,630 648,160 842,608 1,053,260 1,685,216 2,106,520 4,213,040 8,426,080

Collatz Trajectory (168 steps to reach 1)

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

8,426,080 4,213,040 2,106,520 1,053,260 526,630 263,315 789,946 394,973 1,184,920 592,460 296,230 148,115 444,346 222,173 666,520 333,260 166,630 83,315 249,946 124,973 374,920 187,460 93,730 46,865 140,596 70,298 35,149 105,448 52,724 26,362 13,181 39,544 19,772 9,886 4,943 14,830 7,415 22,246 11,123 33,370 16,685 50,056 25,028 12,514 6,257 18,772 9,386 4,693 14,080 7,040 3,520 1,760 880 440 220 110 55 166 83 250

More profiles

Browse other published profiles and their separate link collections.

Profile #8,342,168 Profile #1,146,956 Profile #9,712,347 Profile #6,573,969 Profile #965,653 Profile #4,620,983 Profile #853,259 Profile #1,288,150
← Previous Integer #8,426,079 Browse Full Index Next Integer #8,426,081 →