λ
Ratio Atlas

29,643,136

27 × 23 × 10069
Abundant Even Composite

29,643,136 factors as 2^7 × 23 × 10069. Its 32 positive divisors give a proper-divisor sum of 31,985,264, so this integer is abundant. The Collatz stopping time is 219 steps.

Prime Factor Structure

Factorization String 2^7 × 23 × 10069
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 61,628,400
Proper Divisor Sum 31,985,264
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #29643127 ← → #29643137

Radix Representation

Decimal 29643136
Binary 1110001000101000110000000 (25 bits)
Octal 0o161050600
Hexadecimal 0x1C45180

Divisor Catalog (32)

Collatz Trajectory (219 steps to reach 1)

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

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