λ
Prime Ledger

2,552,676

22 × 3 × 7 × 30389
Abundant Even Composite

2,552,676 has the prime decomposition 2^2 × 3 × 7 × 30389. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 30389
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,807,360
Proper Divisor Sum 4,254,684
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #2552659 ← → #2552677

Radix Representation

Decimal 2552676
Binary 1001101111001101100100 (22 bits)
Octal 0o11571544
Hexadecimal 0x26F364

Divisor Catalog (24)

1 2 3 4 6 7 12 14 21 28 42 84 30,389 60,778 91,167 121,556 182,334 212,723 364,668 425,446 638,169 850,892 1,276,338 2,552,676

Collatz Trajectory (218 steps to reach 1)

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

2,552,676 1,276,338 638,169 1,914,508 957,254 478,627 1,435,882 717,941 2,153,824 1,076,912 538,456 269,228 134,614 67,307 201,922 100,961 302,884 151,442 75,721 227,164 113,582 56,791 170,374 85,187 255,562 127,781 383,344 191,672 95,836 47,918 23,959 71,878 35,939 107,818 53,909 161,728 80,864 40,432 20,216 10,108 5,054 2,527 7,582 3,791 11,374 5,687 17,062 8,531 25,594 12,797 38,392 19,196 9,598 4,799 14,398 7,199 21,598 10,799 32,398 16,199

More profiles

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