λ
Prime Ledger

5,328,980

22 × 5 × 266449
Abundant Even Composite

5,328,980 has the prime decomposition 2^2 × 5 × 266449. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 266449
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 11,190,900
Proper Divisor Sum 5,861,920
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #5328913 ← → #5328989

Radix Representation

Decimal 5328980
Binary 10100010101000001010100 (23 bits)
Octal 0o24250124
Hexadecimal 0x515054

Divisor Catalog (12)

1 2 4 5 10 20 266,449 532,898 1,065,796 1,332,245 2,664,490 5,328,980

Collatz Trajectory (188 steps to reach 1)

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

5,328,980 2,664,490 1,332,245 3,996,736 1,998,368 999,184 499,592 249,796 124,898 62,449 187,348 93,674 46,837 140,512 70,256 35,128 17,564 8,782 4,391 13,174 6,587 19,762 9,881 29,644 14,822 7,411 22,234 11,117 33,352 16,676 8,338 4,169 12,508 6,254 3,127 9,382 4,691 14,074 7,037 21,112 10,556 5,278 2,639 7,918 3,959 11,878 5,939 17,818 8,909 26,728 13,364 6,682 3,341 10,024 5,012 2,506 1,253 3,760 1,880 940

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