λ
Prime Ledger

7,696,992

25 × 3 × 80177
Abundant Even Composite

7,696,992 has the prime decomposition 2^5 × 3 × 80177. Its 3 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 3 × 80177
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 20,204,856
Proper Divisor Sum 12,507,864
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #7696979 ← → #7696993

Radix Representation

Decimal 7696992
Binary 11101010111001001100000 (23 bits)
Octal 0o35271140
Hexadecimal 0x757260

Divisor Catalog (24)

1 2 3 4 6 8 12 16 24 32 48 96 80,177 160,354 240,531 320,708 481,062 641,416 962,124 1,282,832 1,924,248 2,565,664 3,848,496 7,696,992

Collatz Trajectory (217 steps to reach 1)

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

7,696,992 3,848,496 1,924,248 962,124 481,062 240,531 721,594 360,797 1,082,392 541,196 270,598 135,299 405,898 202,949 608,848 304,424 152,212 76,106 38,053 114,160 57,080 28,540 14,270 7,135 21,406 10,703 32,110 16,055 48,166 24,083 72,250 36,125 108,376 54,188 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 25,721 77,164 38,582 19,291 57,874 28,937 86,812 43,406 21,703 65,110 32,555 97,666 48,833

More profiles

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