λ
Prime Ledger

5,006,524

22 × 509 × 2459
Deficient Even Composite

5,006,524 has the prime decomposition 2^2 × 509 × 2459. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 509 × 2459
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 8,782,200
Proper Divisor Sum 3,775,676
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #5006513 ← → #5006527

Radix Representation

Decimal 5006524
Binary 10011000110010010111100 (23 bits)
Octal 0o23062274
Hexadecimal 0x4C64BC

Divisor Catalog (12)

1 2 4 509 1,018 2,036 2,459 4,918 9,836 1,251,631 2,503,262 5,006,524

Collatz Trajectory (131 steps to reach 1)

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

5,006,524 2,503,262 1,251,631 3,754,894 1,877,447 5,632,342 2,816,171 8,448,514 4,224,257 12,672,772 6,336,386 3,168,193 9,504,580 4,752,290 2,376,145 7,128,436 3,564,218 1,782,109 5,346,328 2,673,164 1,336,582 668,291 2,004,874 1,002,437 3,007,312 1,503,656 751,828 375,914 187,957 563,872 281,936 140,968 70,484 35,242 17,621 52,864 26,432 13,216 6,608 3,304 1,652 826 413 1,240 620 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890

More profiles

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