λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,716,616

9,716,616

23 × 32 × 7 × 13 × 1483
Abundant Even Composite

9,716,616 factors as 2^3 × 3^2 × 7 × 13 × 1483. Its 96 positive divisors give a proper-divisor sum of 22,693,944, so this integer is abundant. The Collatz stopping time is 70 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 7 × 13 × 1483
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 32,410,560
Proper Divisor Sum 22,693,944
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9716599 ← → #9716617

Radix Representation

Decimal 9716616
Binary 100101000100001110001000 (24 bits)
Octal 0o45041610
Hexadecimal 0x944388

Divisor Catalog (60 of 96)

1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 156 168 182 234 252 273 312 364 468 504 546 728 819 936 1,092 1,483 1,638 2,184 2,966 3,276 4,449 5,932 6,552 8,898 10,381 11,864 13,347 17,796 19,279 20,762 26,694

Collatz Trajectory (70 steps to reach 1)

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

9,716,616 4,858,308 2,429,154 1,214,577 3,643,732 1,821,866 910,933 2,732,800 1,366,400 683,200 341,600 170,800 85,400 42,700 21,350 10,675 32,026 16,013 48,040 24,020 12,010 6,005 18,016 9,008 4,504 2,252 1,126 563 1,690 845 2,536 1,268 634 317 952 476 238 119 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #9,716,615 Browse Full Index Next Integer #9,716,617 →