λ
Harmonic Matrix

7,419,882

2 × 3 × 29 × 42643
Abundant Even Composite

7,419,882 has digital root 3. The neighboring primes are 7419851 and 7419889; its proper-divisor sum differs from the starting integer by 512,076.

Prime Factor Structure

Factorization String 2 × 3 × 29 × 42643
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 15,351,840
Proper Divisor Sum 7,931,958
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #7419851 ← → #7419889

Radix Representation

Decimal 7419882
Binary 11100010011011111101010 (23 bits)
Octal 0o34233752
Hexadecimal 0x7137EA

Divisor Catalog (16)

1 2 3 6 29 58 87 174 42,643 85,286 127,929 255,858 1,236,647 2,473,294 3,709,941 7,419,882

Collatz Trajectory (173 steps to reach 1)

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

7,419,882 3,709,941 11,129,824 5,564,912 2,782,456 1,391,228 695,614 347,807 1,043,422 521,711 1,565,134 782,567 2,347,702 1,173,851 3,521,554 1,760,777 5,282,332 2,641,166 1,320,583 3,961,750 1,980,875 5,942,626 2,971,313 8,913,940 4,456,970 2,228,485 6,685,456 3,342,728 1,671,364 835,682 417,841 1,253,524 626,762 313,381 940,144 470,072 235,036 117,518 58,759 176,278 88,139 264,418 132,209 396,628 198,314 99,157 297,472 148,736 74,368 37,184 18,592 9,296 4,648 2,324 1,162 581 1,744 872 436 218

More profiles

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