λ
Prime Ledger

7,531,840

26 × 5 × 23537
Abundant Even Composite

7,531,840 has the prime decomposition 2^6 × 5 × 23537. Its 3 distinct prime factors produce 28 positive divisors.

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Prime Factor Structure

Factorization String 2^6 × 5 × 23537
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 17,935,956
Proper Divisor Sum 10,404,116
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #7531829 ← → #7531841

Radix Representation

Decimal 7531840
Binary 11100101110110101000000 (23 bits)
Octal 0o34566500
Hexadecimal 0x72ED40

Divisor Catalog (5 of 28)

1 2 4 5 8

Collatz Trajectory (111 steps to reach 1)

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

Showing the first 5 trajectory entries; the stopping-time total above is unchanged.

7,531,840 3,765,920 1,882,960 941,480 470,740

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