λ
Prime Ledger

9,531,636

22 × 3 × 461 × 1723
Abundant Even Composite

9,531,636 has the prime decomposition 2^2 × 3 × 461 × 1723. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 461 × 1723
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 22,301,664
Proper Divisor Sum 12,770,028
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9531631 ← → #9531661

Radix Representation

Decimal 9531636
Binary 100100010111000011110100 (24 bits)
Octal 0o44270364
Hexadecimal 0x9170F4

Divisor Catalog (24)

1 2 3 4 6 12 461 922 1,383 1,723 1,844 2,766 3,446 5,169 5,532 6,892 10,338 20,676 794,303 1,588,606 2,382,909 3,177,212 4,765,818 9,531,636

Collatz Trajectory (101 steps to reach 1)

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

9,531,636 4,765,818 2,382,909 7,148,728 3,574,364 1,787,182 893,591 2,680,774 1,340,387 4,021,162 2,010,581 6,031,744 3,015,872 1,507,936 753,968 376,984 188,492 94,246 47,123 141,370 70,685 212,056 106,028 53,014 26,507 79,522 39,761 119,284 59,642 29,821 89,464 44,732 22,366 11,183 33,550 16,775 50,326 25,163 75,490 37,745 113,236 56,618 28,309 84,928 42,464 21,232 10,616 5,308 2,654 1,327 3,982 1,991 5,974 2,987 8,962 4,481 13,444 6,722 3,361 10,084

More profiles

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