λ
Harmonic Matrix

3,283,398

2 × 32 × 79 × 2309
Abundant Even Composite

3,283,398 has digital root 9. The neighboring primes are 3283393 and 3283421; its proper-divisor sum differs from the starting integer by 640,404.

Prime Factor Structure

Factorization String 2 × 3^2 × 79 × 2309
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 7,207,200
Proper Divisor Sum 3,923,802
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3283393 ← → #3283421

Radix Representation

Decimal 3283398
Binary 1100100001100111000110 (22 bits)
Octal 0o14414706
Hexadecimal 0x3219C6

Divisor Catalog (24)

1 2 3 6 9 18 79 158 237 474 711 1,422 2,309 4,618 6,927 13,854 20,781 41,562 182,411 364,822 547,233 1,094,466 1,641,699 3,283,398

Collatz Trajectory (58 steps to reach 1)

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

3,283,398 1,641,699 4,925,098 2,462,549 7,387,648 3,693,824 1,846,912 923,456 461,728 230,864 115,432 57,716 28,858 14,429 43,288 21,644 10,822 5,411 16,234 8,117 24,352 12,176 6,088 3,044 1,522 761 2,284 1,142 571 1,714 857 2,572 1,286 643 1,930 965 2,896 1,448 724 362 181 544 272 136 68 34 17 52 26 13 40 20 10 5 16 8 4 2 1

More profiles

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