λ
Prime Ledger

2,679,482

2 × 13 × 257 × 401
Deficient Even Composite

2,679,482 has the prime decomposition 2 × 13 × 257 × 401. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 13 × 257 × 401
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,356,072
Proper Divisor Sum 1,676,590
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #2679463 ← → #2679491

Radix Representation

Decimal 2679482
Binary 1010001110001010111010 (22 bits)
Octal 0o12161272
Hexadecimal 0x28E2BA

Divisor Catalog (16)

1 2 13 26 257 401 514 802 3,341 5,213 6,682 10,426 103,057 206,114 1,339,741 2,679,482

Collatz Trajectory (138 steps to reach 1)

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

2,679,482 1,339,741 4,019,224 2,009,612 1,004,806 502,403 1,507,210 753,605 2,260,816 1,130,408 565,204 282,602 141,301 423,904 211,952 105,976 52,988 26,494 13,247 39,742 19,871 59,614 29,807 89,422 44,711 134,134 67,067 201,202 100,601 301,804 150,902 75,451 226,354 113,177 339,532 169,766 84,883 254,650 127,325 381,976 190,988 95,494 47,747 143,242 71,621 214,864 107,432 53,716 26,858 13,429 40,288 20,144 10,072 5,036 2,518 1,259 3,778 1,889 5,668 2,834

More profiles

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