λ
Prime Ledger

7,693,696

27 × 60107
Deficient Even Composite

7,693,696 has the prime decomposition 2^7 × 60107. Its 2 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2^7 × 60107
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 15,327,540
Proper Divisor Sum 7,633,844
Digit Sum / Digital Root 46 (Root: 1)
Adjacent Primes #7693687 ← → #7693703

Radix Representation

Decimal 7693696
Binary 11101010110010110000000 (23 bits)
Octal 0o35262600
Hexadecimal 0x756580

Divisor Catalog (16)

1 2 4 8 16 32 64 128 60,107 120,214 240,428 480,856 961,712 1,923,424 3,846,848 7,693,696

Collatz Trajectory (72 steps to reach 1)

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

7,693,696 3,846,848 1,923,424 961,712 480,856 240,428 120,214 60,107 180,322 90,161 270,484 135,242 67,621 202,864 101,432 50,716 25,358 12,679 38,038 19,019 57,058 28,529 85,588 42,794 21,397 64,192 32,096 16,048 8,024 4,012 2,006 1,003 3,010 1,505 4,516 2,258 1,129 3,388 1,694 847 2,542 1,271 3,814 1,907 5,722 2,861 8,584 4,292 2,146 1,073 3,220 1,610 805 2,416 1,208 604 302 151 454 227

More profiles

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