λ
Prime Ledger

7,515,872

25 × 7 × 13 × 29 × 89
Abundant Even Composite

7,515,872 has the prime decomposition 2^5 × 7 × 13 × 29 × 89. Its 5 distinct prime factors produce 96 positive divisors.

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Prime Factor Structure

Factorization String 2^5 × 7 × 13 × 29 × 89
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 19,051,200
Proper Divisor Sum 11,535,328
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #7515821 ← → #7515883

Radix Representation

Decimal 7515872
Binary 11100101010111011100000 (23 bits)
Octal 0o34527340
Hexadecimal 0x72AEE0

Divisor Catalog (5 of 96)

1 2 4 7 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.

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