3,846,478

2 × 317 × 6067

3,846,478 has digital root 4. The neighboring primes are 3846467 and 3846481; its proper-divisor sum differs from the starting integer by -1,904,084.

Prime Factor Structure

Factorization String 2 × 317 × 6067

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 5,788,872

Proper Divisor Sum 1,942,394

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #3846467 ← → #3846481

Radix Representation

Decimal	3846478
Binary	1110101011000101001110 (22 bits)
Octal	0o16530516
Hexadecimal	0x3AB14E

Divisor Catalog (8)

1 2 317 634 6,067 12,134 1,923,239 3,846,478

Collatz Trajectory (185 steps to reach 1)

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

3,846,478 1,923,239 5,769,718 2,884,859 8,654,578 4,327,289 12,981,868 6,490,934 3,245,467 9,736,402 4,868,201 14,604,604 7,302,302 3,651,151 10,953,454 5,476,727 16,430,182 8,215,091 24,645,274 12,322,637 36,967,912 18,483,956 9,241,978 4,620,989 13,862,968 6,931,484 3,465,742 1,732,871 5,198,614 2,599,307 7,797,922 3,898,961 11,696,884 5,848,442 2,924,221 8,772,664 4,386,332 2,193,166 1,096,583 3,289,750 1,644,875 4,934,626 2,467,313 7,401,940 3,700,970 1,850,485 5,551,456 2,775,728 1,387,864 693,932 346,966 173,483 520,450 260,225 780,676 390,338 195,169 585,508 292,754 146,377

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