λ
Harmonic Matrix

7,062,762

2 × 3 × 72 × 24023
Abundant Even Composite

7,062,762 has digital root 3. The neighboring primes are 7062751 and 7062767; its proper-divisor sum differs from the starting integer by 2,306,892.

Prime Factor Structure

Factorization String 2 × 3 × 7^2 × 24023
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 16,432,416
Proper Divisor Sum 9,369,654
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #7062751 ← → #7062767

Radix Representation

Decimal 7062762
Binary 11010111100010011101010 (23 bits)
Octal 0o32742352
Hexadecimal 0x6BC4EA

Divisor Catalog (24)

1 2 3 6 7 14 21 42 49 98 147 294 24,023 48,046 72,069 144,138 168,161 336,322 504,483 1,008,966 1,177,127 2,354,254 3,531,381 7,062,762

Collatz Trajectory (160 steps to reach 1)

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

7,062,762 3,531,381 10,594,144 5,297,072 2,648,536 1,324,268 662,134 331,067 993,202 496,601 1,489,804 744,902 372,451 1,117,354 558,677 1,676,032 838,016 419,008 209,504 104,752 52,376 26,188 13,094 6,547 19,642 9,821 29,464 14,732 7,366 3,683 11,050 5,525 16,576 8,288 4,144 2,072 1,036 518 259 778 389 1,168 584 292 146 73 220 110 55 166 83 250 125 376 188 94 47 142 71 214

More profiles

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