λ
Prime Ledger

5,213,084

22 × 17 × 31 × 2473
Deficient Even Composite

5,213,084 has the prime decomposition 2^2 × 17 × 31 × 2473. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 17 × 31 × 2473
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 9,975,168
Proper Divisor Sum 4,762,084
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #5213083 ← → #5213093

Radix Representation

Decimal 5213084
Binary 10011111000101110011100 (23 bits)
Octal 0o23705634
Hexadecimal 0x4F8B9C

Divisor Catalog (24)

1 2 4 17 31 34 62 68 124 527 1,054 2,108 2,473 4,946 9,892 42,041 76,663 84,082 153,326 168,164 306,652 1,303,271 2,606,542 5,213,084

Collatz Trajectory (201 steps to reach 1)

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

5,213,084 2,606,542 1,303,271 3,909,814 1,954,907 5,864,722 2,932,361 8,797,084 4,398,542 2,199,271 6,597,814 3,298,907 9,896,722 4,948,361 14,845,084 7,422,542 3,711,271 11,133,814 5,566,907 16,700,722 8,350,361 25,051,084 12,525,542 6,262,771 18,788,314 9,394,157 28,182,472 14,091,236 7,045,618 3,522,809 10,568,428 5,284,214 2,642,107 7,926,322 3,963,161 11,889,484 5,944,742 2,972,371 8,917,114 4,458,557 13,375,672 6,687,836 3,343,918 1,671,959 5,015,878 2,507,939 7,523,818 3,761,909 11,285,728 5,642,864 2,821,432 1,410,716 705,358 352,679 1,058,038 529,019 1,587,058 793,529 2,380,588 1,190,294

More profiles

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