λ
Prime Ledger

6,093,924

22 × 3 × 507827
Abundant Even Composite

6,093,924 has the prime decomposition 2^2 × 3 × 507827. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 507827
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 14,219,184
Proper Divisor Sum 8,125,260
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #6093911 ← → #6093931

Radix Representation

Decimal 6093924
Binary 10111001111110001100100 (23 bits)
Octal 0o27176144
Hexadecimal 0x5CFC64

Divisor Catalog (12)

1 2 3 4 6 12 507,827 1,015,654 1,523,481 2,031,308 3,046,962 6,093,924

Collatz Trajectory (289 steps to reach 1)

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

6,093,924 3,046,962 1,523,481 4,570,444 2,285,222 1,142,611 3,427,834 1,713,917 5,141,752 2,570,876 1,285,438 642,719 1,928,158 964,079 2,892,238 1,446,119 4,338,358 2,169,179 6,507,538 3,253,769 9,761,308 4,880,654 2,440,327 7,320,982 3,660,491 10,981,474 5,490,737 16,472,212 8,236,106 4,118,053 12,354,160 6,177,080 3,088,540 1,544,270 772,135 2,316,406 1,158,203 3,474,610 1,737,305 5,211,916 2,605,958 1,302,979 3,908,938 1,954,469 5,863,408 2,931,704 1,465,852 732,926 366,463 1,099,390 549,695 1,649,086 824,543 2,473,630 1,236,815 3,710,446 1,855,223 5,565,670 2,782,835 8,348,506

More profiles

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