λ
Ratio Atlas
Atlas › Integer Profiles › Node 6,969,560

6,969,560

23 × 5 × 132 × 1031
Abundant Even Composite

6,969,560 factors as 2^3 × 5 × 13^2 × 1031. Its 48 positive divisors give a proper-divisor sum of 10,027,480, so this integer is abundant. The Collatz stopping time is 191 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 13^2 × 1031
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 16,997,040
Proper Divisor Sum 10,027,480
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #6969527 ← → #6969563

Radix Representation

Decimal 6969560
Binary 11010100101100011011000 (23 bits)
Octal 0o32454330
Hexadecimal 0x6A58D8

Divisor Catalog (48)

1 2 4 5 8 10 13 20 26 40 52 65 104 130 169 260 338 520 676 845 1,031 1,352 1,690 2,062 3,380 4,124 5,155 6,760 8,248 10,310 13,403 20,620 26,806 41,240 53,612 67,015 107,224 134,030 174,239 268,060 348,478 536,120 696,956 871,195 1,393,912 1,742,390 3,484,780 6,969,560

Collatz Trajectory (191 steps to reach 1)

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

6,969,560 3,484,780 1,742,390 871,195 2,613,586 1,306,793 3,920,380 1,960,190 980,095 2,940,286 1,470,143 4,410,430 2,205,215 6,615,646 3,307,823 9,923,470 4,961,735 14,885,206 7,442,603 22,327,810 11,163,905 33,491,716 16,745,858 8,372,929 25,118,788 12,559,394 6,279,697 18,839,092 9,419,546 4,709,773 14,129,320 7,064,660 3,532,330 1,766,165 5,298,496 2,649,248 1,324,624 662,312 331,156 165,578 82,789 248,368 124,184 62,092 31,046 15,523 46,570 23,285 69,856 34,928 17,464 8,732 4,366 2,183 6,550 3,275 9,826 4,913 14,740 7,370

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #6,969,559 Browse Full Index Next Integer #6,969,561 →