λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,852,924

9,852,924

22 × 3 × 23 × 29 × 1231
Abundant Even Composite

9,852,924 factors as 2^2 × 3 × 23 × 29 × 1231. Its 48 positive divisors give a proper-divisor sum of 14,984,196, so this integer is abundant. The Collatz stopping time is 163 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 23 × 29 × 1231
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 24,837,120
Proper Divisor Sum 14,984,196
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #9852917 ← → #9852937

Radix Representation

Decimal 9852924
Binary 100101100101011111111100 (24 bits)
Octal 0o45453774
Hexadecimal 0x9657FC

Divisor Catalog (48)

1 2 3 4 6 12 23 29 46 58 69 87 92 116 138 174 276 348 667 1,231 1,334 2,001 2,462 2,668 3,693 4,002 4,924 7,386 8,004 14,772 28,313 35,699 56,626 71,398 84,939 107,097 113,252 142,796 169,878 214,194 339,756 428,388 821,077 1,642,154 2,463,231 3,284,308 4,926,462 9,852,924

Collatz Trajectory (163 steps to reach 1)

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

9,852,924 4,926,462 2,463,231 7,389,694 3,694,847 11,084,542 5,542,271 16,626,814 8,313,407 24,940,222 12,470,111 37,410,334 18,705,167 56,115,502 28,057,751 84,173,254 42,086,627 126,259,882 63,129,941 189,389,824 94,694,912 47,347,456 23,673,728 11,836,864 5,918,432 2,959,216 1,479,608 739,804 369,902 184,951 554,854 277,427 832,282 416,141 1,248,424 624,212 312,106 156,053 468,160 234,080 117,040 58,520 29,260 14,630 7,315 21,946 10,973 32,920 16,460 8,230 4,115 12,346 6,173 18,520 9,260 4,630 2,315 6,946 3,473 10,420

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #9,852,923 Browse Full Index Next Integer #9,852,925 →