λ
Harmonic Matrix

6,074,082

2 × 33 × 7 × 16069
Abundant Even Composite

6,074,082 has digital root 9. The neighboring primes are 6074063 and 6074087; its proper-divisor sum differs from the starting integer by 3,279,036.

Prime Factor Structure

Factorization String 2 × 3^3 × 7 × 16069
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 15,427,200
Proper Divisor Sum 9,353,118
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #6074063 ← → #6074087

Radix Representation

Decimal 6074082
Binary 10111001010111011100010 (23 bits)
Octal 0o27127342
Hexadecimal 0x5CAEE2

Divisor Catalog (32)

1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 16,069 32,138 48,207 96,414 112,483 144,621 224,966 289,242 337,449 433,863 674,898 867,726 1,012,347 2,024,694 3,037,041 6,074,082

Collatz Trajectory (82 steps to reach 1)

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

6,074,082 3,037,041 9,111,124 4,555,562 2,277,781 6,833,344 3,416,672 1,708,336 854,168 427,084 213,542 106,771 320,314 160,157 480,472 240,236 120,118 60,059 180,178 90,089 270,268 135,134 67,567 202,702 101,351 304,054 152,027 456,082 228,041 684,124 342,062 171,031 513,094 256,547 769,642 384,821 1,154,464 577,232 288,616 144,308 72,154 36,077 108,232 54,116 27,058 13,529 40,588 20,294 10,147 30,442 15,221 45,664 22,832 11,416 5,708 2,854 1,427 4,282 2,141 6,424

More profiles

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