λ
Ratio Atlas

8,107,696

24 × 506731
Deficient Even Composite

8,107,696 factors as 2^4 × 506731. Its 10 positive divisors give a proper-divisor sum of 7,600,996, so this integer is deficient. The Collatz stopping time is 230 steps.

Prime Factor Structure

Factorization String 2^4 × 506731
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 10
Divisor Sum (σ) 15,708,692
Proper Divisor Sum 7,600,996
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #8107679 ← → #8107717

Radix Representation

Decimal 8107696
Binary 11110111011011010110000 (23 bits)
Octal 0o36733260
Hexadecimal 0x7BB6B0

Divisor Catalog (10)

1 2 4 8 16 506,731 1,013,462 2,026,924 4,053,848 8,107,696

Collatz Trajectory (230 steps to reach 1)

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

8,107,696 4,053,848 2,026,924 1,013,462 506,731 1,520,194 760,097 2,280,292 1,140,146 570,073 1,710,220 855,110 427,555 1,282,666 641,333 1,924,000 962,000 481,000 240,500 120,250 60,125 180,376 90,188 45,094 22,547 67,642 33,821 101,464 50,732 25,366 12,683 38,050 19,025 57,076 28,538 14,269 42,808 21,404 10,702 5,351 16,054 8,027 24,082 12,041 36,124 18,062 9,031 27,094 13,547 40,642 20,321 60,964 30,482 15,241 45,724 22,862 11,431 34,294 17,147 51,442

More profiles

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