λ
Harmonic Matrix

3,250,704

24 × 3 × 67723
Abundant Even Composite

3,250,704 has digital root 3. The neighboring primes are 3250693 and 3250711; its proper-divisor sum differs from the starting integer by 1,896,368.

Prime Factor Structure

Factorization String 2^4 × 3 × 67723
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 8,397,776
Proper Divisor Sum 5,147,072
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #3250693 ← → #3250711

Radix Representation

Decimal 3250704
Binary 1100011001101000010000 (22 bits)
Octal 0o14315020
Hexadecimal 0x319A10

Divisor Catalog (20)

1 2 3 4 6 8 12 16 24 48 67,723 135,446 203,169 270,892 406,338 541,784 812,676 1,083,568 1,625,352 3,250,704

Collatz Trajectory (115 steps to reach 1)

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

3,250,704 1,625,352 812,676 406,338 203,169 609,508 304,754 152,377 457,132 228,566 114,283 342,850 171,425 514,276 257,138 128,569 385,708 192,854 96,427 289,282 144,641 433,924 216,962 108,481 325,444 162,722 81,361 244,084 122,042 61,021 183,064 91,532 45,766 22,883 68,650 34,325 102,976 51,488 25,744 12,872 6,436 3,218 1,609 4,828 2,414 1,207 3,622 1,811 5,434 2,717 8,152 4,076 2,038 1,019 3,058 1,529 4,588 2,294 1,147 3,442

More profiles

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