634,446

2 × 3³ × 31 × 379

634,446 factors as 2 × 3^3 × 31 × 379. Its 32 positive divisors give a proper-divisor sum of 824,754, so this integer is abundant. The Collatz stopping time is 128 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 31 × 379

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 1,459,200

Proper Divisor Sum 824,754

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #634441 ← → #634471

Radix Representation

Decimal	634446
Binary	10011010111001001110 (20 bits)
Octal	0o2327116
Hexadecimal	0x9AE4E

Divisor Catalog (32)

1 2 3 6 9 18 27 31 54 62 93 186 279 379 558 758 837 1,137 1,674 2,274 3,411 6,822 10,233 11,749 20,466 23,498 35,247 70,494 105,741 211,482 317,223 634,446

Collatz Trajectory (128 steps to reach 1)

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

634,446 317,223 951,670 475,835 1,427,506 713,753 2,141,260 1,070,630 535,315 1,605,946 802,973 2,408,920 1,204,460 602,230 301,115 903,346 451,673 1,355,020 677,510 338,755 1,016,266 508,133 1,524,400 762,200 381,100 190,550 95,275 285,826 142,913 428,740 214,370 107,185 321,556 160,778 80,389 241,168 120,584 60,292 30,146 15,073 45,220 22,610 11,305 33,916 16,958 8,479 25,438 12,719 38,158 19,079 57,238 28,619 85,858 42,929 128,788 64,394 32,197 96,592 48,296 24,148

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