λ
Harmonic Matrix

3,908,378

2 × 67 × 29167
Deficient Even Composite

3,908,378 has digital root 2. The neighboring primes are 3908371 and 3908381; its proper-divisor sum differs from the starting integer by -1,866,484.

Prime Factor Structure

Factorization String 2 × 67 × 29167
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,950,272
Proper Divisor Sum 2,041,894
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #3908371 ← → #3908381

Radix Representation

Decimal 3908378
Binary 1110111010001100011010 (22 bits)
Octal 0o16721432
Hexadecimal 0x3BA31A

Divisor Catalog (8)

1 2 67 134 29,167 58,334 1,954,189 3,908,378

Collatz Trajectory (216 steps to reach 1)

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

3,908,378 1,954,189 5,862,568 2,931,284 1,465,642 732,821 2,198,464 1,099,232 549,616 274,808 137,404 68,702 34,351 103,054 51,527 154,582 77,291 231,874 115,937 347,812 173,906 86,953 260,860 130,430 65,215 195,646 97,823 293,470 146,735 440,206 220,103 660,310 330,155 990,466 495,233 1,485,700 742,850 371,425 1,114,276 557,138 278,569 835,708 417,854 208,927 626,782 313,391 940,174 470,087 1,410,262 705,131 2,115,394 1,057,697 3,173,092 1,586,546 793,273 2,379,820 1,189,910 594,955 1,784,866 892,433

More profiles

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