λ
Prime Ledger

5,245,834

2 × 112 × 53 × 409
Deficient Even Composite

5,245,834 has the prime decomposition 2 × 11^2 × 53 × 409. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 11^2 × 53 × 409
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 8,833,860
Proper Divisor Sum 3,588,026
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #5245831 ← → #5245861

Radix Representation

Decimal 5245834
Binary 10100000000101110001010 (23 bits)
Octal 0o24005612
Hexadecimal 0x500B8A

Divisor Catalog (24)

1 2 11 22 53 106 121 242 409 583 818 1,166 4,499 6,413 8,998 12,826 21,677 43,354 49,489 98,978 238,447 476,894 2,622,917 5,245,834

Collatz Trajectory (51 steps to reach 1)

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

5,245,834 2,622,917 7,868,752 3,934,376 1,967,188 983,594 491,797 1,475,392 737,696 368,848 184,424 92,212 46,106 23,053 69,160 34,580 17,290 8,645 25,936 12,968 6,484 3,242 1,621 4,864 2,432 1,216 608 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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