λ
Prime Ledger

5,209,804

22 × 571 × 2281
Deficient Even Composite

5,209,804 has the prime decomposition 2^2 × 571 × 2281. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 571 × 2281
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 9,137,128
Proper Divisor Sum 3,927,324
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #5209783 ← → #5209817

Radix Representation

Decimal 5209804
Binary 10011110111111011001100 (23 bits)
Octal 0o23677314
Hexadecimal 0x4F7ECC

Divisor Catalog (12)

1 2 4 571 1,142 2,281 2,284 4,562 9,124 1,302,451 2,604,902 5,209,804

Collatz Trajectory (188 steps to reach 1)

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

5,209,804 2,604,902 1,302,451 3,907,354 1,953,677 5,861,032 2,930,516 1,465,258 732,629 2,197,888 1,098,944 549,472 274,736 137,368 68,684 34,342 17,171 51,514 25,757 77,272 38,636 19,318 9,659 28,978 14,489 43,468 21,734 10,867 32,602 16,301 48,904 24,452 12,226 6,113 18,340 9,170 4,585 13,756 6,878 3,439 10,318 5,159 15,478 7,739 23,218 11,609 34,828 17,414 8,707 26,122 13,061 39,184 19,592 9,796 4,898 2,449 7,348 3,674 1,837 5,512

More profiles

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