λ
Prime Ledger

6,565,113

32 × 729457
Deficient Odd Composite

6,565,113 has the prime decomposition 3^2 × 729457. Its 2 distinct prime factors produce 6 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 729457
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 9,482,954
Proper Divisor Sum 2,917,841
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #6565099 ← → #6565123

Radix Representation

Decimal 6565113
Binary 11001000010110011111001 (23 bits)
Octal 0o31026371
Hexadecimal 0x642CF9

Divisor Catalog (6)

1 3 9 729,457 2,188,371 6,565,113

Collatz Trajectory (178 steps to reach 1)

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

6,565,113 19,695,340 9,847,670 4,923,835 14,771,506 7,385,753 22,157,260 11,078,630 5,539,315 16,617,946 8,308,973 24,926,920 12,463,460 6,231,730 3,115,865 9,347,596 4,673,798 2,336,899 7,010,698 3,505,349 10,516,048 5,258,024 2,629,012 1,314,506 657,253 1,971,760 985,880 492,940 246,470 123,235 369,706 184,853 554,560 277,280 138,640 69,320 34,660 17,330 8,665 25,996 12,998 6,499 19,498 9,749 29,248 14,624 7,312 3,656 1,828 914 457 1,372 686 343 1,030 515 1,546 773 2,320 1,160

More profiles

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