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Zalai Atlas

2,605,689

35 × 10723
Deficient Odd Composite

2,605,689 has the prime decomposition 3^5 × 10723. Its 2 distinct prime factors produce 12 positive divisors.

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Prime Factor Structure

Factorization String 3^5 × 10723
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 3,903,536
Proper Divisor Sum 1,297,847
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #2605663 ← → #2605741

Radix Representation

Decimal 2605689
Binary 1001111100001001111001 (22 bits)
Octal 0o11741171
Hexadecimal 0x27C279

Divisor Catalog (5 of 12)

1 3 9 27 81

Collatz Trajectory (94 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.

2,605,689 7,817,068 3,908,534 1,954,267 5,862,802

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