λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,686,760

9,686,760

23 × 3 × 5 × 89 × 907
Abundant Even Composite

9,686,760 factors as 2^3 × 3 × 5 × 89 × 907. Its 64 positive divisors give a proper-divisor sum of 19,732,440, so this integer is abundant. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 89 × 907
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 29,419,200
Proper Divisor Sum 19,732,440
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #9686759 ← → #9686767

Radix Representation

Decimal 9686760
Binary 100100111100111011101000 (24 bits)
Octal 0o44747350
Hexadecimal 0x93CEE8

Divisor Catalog (60 of 64)

1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 89 120 178 267 356 445 534 712 890 907 1,068 1,335 1,780 1,814 2,136 2,670 2,721 3,560 3,628 4,535 5,340 5,442 7,256 9,070 10,680 10,884 13,605 18,140 21,768 27,210 36,280 54,420 80,723 108,840 161,446 242,169 322,892 403,615 484,338 645,784 807,230 968,676 1,210,845 1,614,460 1,937,352

Collatz Trajectory (114 steps to reach 1)

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

9,686,760 4,843,380 2,421,690 1,210,845 3,632,536 1,816,268 908,134 454,067 1,362,202 681,101 2,043,304 1,021,652 510,826 255,413 766,240 383,120 191,560 95,780 47,890 23,945 71,836 35,918 17,959 53,878 26,939 80,818 40,409 121,228 60,614 30,307 90,922 45,461 136,384 68,192 34,096 17,048 8,524 4,262 2,131 6,394 3,197 9,592 4,796 2,398 1,199 3,598 1,799 5,398 2,699 8,098 4,049 12,148 6,074 3,037 9,112 4,556 2,278 1,139 3,418 1,709

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #9,686,759 Browse Full Index Next Integer #9,686,761 →