4,212,384

2⁵ × 3 × 11 × 3989

4,212,384 has digital root 6. The neighboring primes are 4212371 and 4212401; its proper-divisor sum differs from the starting integer by 3,640,992.

Prime Factor Structure

Factorization String 2^5 × 3 × 11 × 3989

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 12,065,760

Proper Divisor Sum 7,853,376

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #4212371 ← → #4212401

Radix Representation

Decimal	4212384
Binary	10000000100011010100000 (23 bits)
Octal	0o20043240
Hexadecimal	0x4046A0

Divisor Catalog (48)

1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1,056 3,989 7,978 11,967 15,956 23,934 31,912 43,879 47,868 63,824 87,758 95,736 127,648 131,637 175,516 191,472 263,274 351,032 382,944 526,548 702,064 1,053,096 1,404,128 2,106,192 4,212,384

Collatz Trajectory (48 steps to reach 1)

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

4,212,384 2,106,192 1,053,096 526,548 263,274 131,637 394,912 197,456 98,728 49,364 24,682 12,341 37,024 18,512 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 10 5 16 8 4 2 1

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