λ
Prime Ledger

5,528,256

26 × 3 × 28793
Abundant Even Composite

5,528,256 has the prime decomposition 2^6 × 3 × 28793. Its 3 distinct prime factors produce 28 positive divisors.

Prime Factor Structure

Factorization String 2^6 × 3 × 28793
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 14,627,352
Proper Divisor Sum 9,099,096
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #5528251 ← → #5528267

Radix Representation

Decimal 5528256
Binary 10101000101101011000000 (23 bits)
Octal 0o25055300
Hexadecimal 0x545AC0

Divisor Catalog (28)

1 2 3 4 6 8 12 16 24 32 48 64 96 192 28,793 57,586 86,379 115,172 172,758 230,344 345,516 460,688 691,032 921,376 1,382,064 1,842,752 2,764,128 5,528,256

Collatz Trajectory (82 steps to reach 1)

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

5,528,256 2,764,128 1,382,064 691,032 345,516 172,758 86,379 259,138 129,569 388,708 194,354 97,177 291,532 145,766 72,883 218,650 109,325 327,976 163,988 81,994 40,997 122,992 61,496 30,748 15,374 7,687 23,062 11,531 34,594 17,297 51,892 25,946 12,973 38,920 19,460 9,730 4,865 14,596 7,298 3,649 10,948 5,474 2,737 8,212 4,106 2,053 6,160 3,080 1,540 770 385 1,156 578 289 868 434 217 652 326 163

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