λ
Prime Ledger

2,750,128

24 × 29 × 5927
Abundant Even Composite

2,750,128 has the prime decomposition 2^4 × 29 × 5927. Its 3 distinct prime factors produce 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 29 × 5927
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 5,513,040
Proper Divisor Sum 2,762,912
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #2750123 ← → #2750131

Radix Representation

Decimal 2750128
Binary 1010011111011010110000 (22 bits)
Octal 0o12373260
Hexadecimal 0x29F6B0

Divisor Catalog (20)

1 2 4 8 16 29 58 116 232 464 5,927 11,854 23,708 47,416 94,832 171,883 343,766 687,532 1,375,064 2,750,128

Collatz Trajectory (81 steps to reach 1)

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

2,750,128 1,375,064 687,532 343,766 171,883 515,650 257,825 773,476 386,738 193,369 580,108 290,054 145,027 435,082 217,541 652,624 326,312 163,156 81,578 40,789 122,368 61,184 30,592 15,296 7,648 3,824 1,912 956 478 239 718 359 1,078 539 1,618 809 2,428 1,214 607 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488

More profiles

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