9,852,993

3² × 23 × 47599

9,852,993 factors as 3^2 × 23 × 47599. Its 12 positive divisors give a proper-divisor sum of 4,998,207, so this integer is deficient. The Collatz stopping time is 163 steps.

Prime Factor Structure

Factorization String 3^2 × 23 × 47599

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 14,851,200

Proper Divisor Sum 4,998,207

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #9852991 ← → #9853007

Radix Representation

Decimal	9852993
Binary	100101100101100001000001 (24 bits)
Octal	0o45454101
Hexadecimal	0x965841

Divisor Catalog (12)

1 3 9 23 69 207 47,599 142,797 428,391 1,094,777 3,284,331 9,852,993

Collatz Trajectory (163 steps to reach 1)

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

9,852,993 29,558,980 14,779,490 7,389,745 22,169,236 11,084,618 5,542,309 16,626,928 8,313,464 4,156,732 2,078,366 1,039,183 3,117,550 1,558,775 4,676,326 2,338,163 7,014,490 3,507,245 10,521,736 5,260,868 2,630,434 1,315,217 3,945,652 1,972,826 986,413 2,959,240 1,479,620 739,810 369,905 1,109,716 554,858 277,429 832,288 416,144 208,072 104,036 52,018 26,009 78,028 39,014 19,507 58,522 29,261 87,784 43,892 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 #9,852,992 Browse Full Index Next Integer #9,852,994 →