λ
Prime Ledger

6,567,296

27 × 51307
Deficient Even Composite

6,567,296 has the prime decomposition 2^7 × 51307. Its 2 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2^7 × 51307
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 13,083,540
Proper Divisor Sum 6,516,244
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #6567277 ← → #6567307

Radix Representation

Decimal 6567296
Binary 11001000011010110000000 (23 bits)
Octal 0o31032600
Hexadecimal 0x643580

Divisor Catalog (16)

1 2 4 8 16 32 64 128 51,307 102,614 205,228 410,456 820,912 1,641,824 3,283,648 6,567,296

Collatz Trajectory (178 steps to reach 1)

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

6,567,296 3,283,648 1,641,824 820,912 410,456 205,228 102,614 51,307 153,922 76,961 230,884 115,442 57,721 173,164 86,582 43,291 129,874 64,937 194,812 97,406 48,703 146,110 73,055 219,166 109,583 328,750 164,375 493,126 246,563 739,690 369,845 1,109,536 554,768 277,384 138,692 69,346 34,673 104,020 52,010 26,005 78,016 39,008 19,504 9,752 4,876 2,438 1,219 3,658 1,829 5,488 2,744 1,372 686 343 1,030 515 1,546 773 2,320 1,160

More profiles

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