λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,780,628

9,780,628

22 × 11 × 13 × 17099
Abundant Even Composite

9,780,628 factors as 2^2 × 11 × 13 × 17099. Its 24 positive divisors give a proper-divisor sum of 10,328,972, so this integer is abundant. The Collatz stopping time is 70 steps.

Prime Factor Structure

Factorization String 2^2 × 11 × 13 × 17099
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 20,109,600
Proper Divisor Sum 10,328,972
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #9780601 ← → #9780647

Radix Representation

Decimal 9780628
Binary 100101010011110110010100 (24 bits)
Octal 0o45236624
Hexadecimal 0x953D94

Divisor Catalog (24)

1 2 4 11 13 22 26 44 52 143 286 572 17,099 34,198 68,396 188,089 222,287 376,178 444,574 752,356 889,148 2,445,157 4,890,314 9,780,628

Collatz Trajectory (70 steps to reach 1)

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

9,780,628 4,890,314 2,445,157 7,335,472 3,667,736 1,833,868 916,934 458,467 1,375,402 687,701 2,063,104 1,031,552 515,776 257,888 128,944 64,472 32,236 16,118 8,059 24,178 12,089 36,268 18,134 9,067 27,202 13,601 40,804 20,402 10,201 30,604 15,302 7,651 22,954 11,477 34,432 17,216 8,608 4,304 2,152 1,076 538 269 808 404 202 101 304 152 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 #9,780,627 Browse Full Index Next Integer #9,780,629 →