λ
Prime Ledger

9,531,050

2 × 52 × 17 × 11213
Deficient Even Composite

9,531,050 has the prime decomposition 2 × 5^2 × 17 × 11213. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 5^2 × 17 × 11213
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 18,772,236
Proper Divisor Sum 9,241,186
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #9531047 ← → #9531059

Radix Representation

Decimal 9531050
Binary 100100010110111010101010 (24 bits)
Octal 0o44267252
Hexadecimal 0x916EAA

Divisor Catalog (24)

1 2 5 10 17 25 34 50 85 170 425 850 11,213 22,426 56,065 112,130 190,621 280,325 381,242 560,650 953,105 1,906,210 4,765,525 9,531,050

Collatz Trajectory (101 steps to reach 1)

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

9,531,050 4,765,525 14,296,576 7,148,288 3,574,144 1,787,072 893,536 446,768 223,384 111,692 55,846 27,923 83,770 41,885 125,656 62,828 31,414 15,707 47,122 23,561 70,684 35,342 17,671 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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