λ
Harmonic Matrix

3,944,040

23 × 3 × 5 × 23 × 1429
Abundant Even Composite

3,944,040 has digital root 6. The neighboring primes are 3944033 and 3944041; its proper-divisor sum differs from the starting integer by 4,467,120.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 23 × 1429
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 12,355,200
Proper Divisor Sum 8,411,160
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #3944033 ← → #3944041

Radix Representation

Decimal 3944040
Binary 1111000010111001101000 (22 bits)
Octal 0o17027150
Hexadecimal 0x3C2E68

Divisor Catalog (60 of 64)

1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1,380 1,429 2,760 2,858 4,287 5,716 7,145 8,574 11,432 14,290 17,148 21,435 28,580 32,867 34,296 42,870 57,160 65,734 85,740 98,601 131,468 164,335 171,480 197,202 262,936 328,670 394,404 493,005 657,340 788,808

Collatz Trajectory (66 steps to reach 1)

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

3,944,040 1,972,020 986,010 493,005 1,479,016 739,508 369,754 184,877 554,632 277,316 138,658 69,329 207,988 103,994 51,997 155,992 77,996 38,998 19,499 58,498 29,249 87,748 43,874 21,937 65,812 32,906 16,453 49,360 24,680 12,340 6,170 3,085 9,256 4,628 2,314 1,157 3,472 1,736 868 434 217 652 326 163 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40 20

More profiles

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