λ
Prime Ledger

5,340,556

22 × 13 × 31 × 3313
Deficient Even Composite

5,340,556 has the prime decomposition 2^2 × 13 × 31 × 3313. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 13 × 31 × 3313
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 10,392,704
Proper Divisor Sum 5,052,148
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #5340547 ← → #5340571

Radix Representation

Decimal 5340556
Binary 10100010111110110001100 (23 bits)
Octal 0o24276614
Hexadecimal 0x517D8C

Divisor Catalog (24)

1 2 4 13 26 31 52 62 124 403 806 1,612 3,313 6,626 13,252 43,069 86,138 102,703 172,276 205,406 410,812 1,335,139 2,670,278 5,340,556

Collatz Trajectory (95 steps to reach 1)

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

5,340,556 2,670,278 1,335,139 4,005,418 2,002,709 6,008,128 3,004,064 1,502,032 751,016 375,508 187,754 93,877 281,632 140,816 70,408 35,204 17,602 8,801 26,404 13,202 6,601 19,804 9,902 4,951 14,854 7,427 22,282 11,141 33,424 16,712 8,356 4,178 2,089 6,268 3,134 1,567 4,702 2,351 7,054 3,527 10,582 5,291 15,874 7,937 23,812 11,906 5,953 17,860 8,930 4,465 13,396 6,698 3,349 10,048 5,024 2,512 1,256 628 314 157

More profiles

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