634,413

3 × 13 × 16267

634,413 factors as 3 × 13 × 16267. Its 8 positive divisors give a proper-divisor sum of 276,595, so this integer is deficient. The Collatz stopping time is 172 steps.

Prime Factor Structure

Factorization String 3 × 13 × 16267

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 911,008

Proper Divisor Sum 276,595

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #634397 ← → #634421

Radix Representation

Decimal	634413
Binary	10011010111000101101 (20 bits)
Octal	0o2327055
Hexadecimal	0x9AE2D

Divisor Catalog (8)

1 3 13 39 16,267 48,801 211,471 634,413

Collatz Trajectory (172 steps to reach 1)

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

634,413 1,903,240 951,620 475,810 237,905 713,716 356,858 178,429 535,288 267,644 133,822 66,911 200,734 100,367 301,102 150,551 451,654 225,827 677,482 338,741 1,016,224 508,112 254,056 127,028 63,514 31,757 95,272 47,636 23,818 11,909 35,728 17,864 8,932 4,466 2,233 6,700 3,350 1,675 5,026 2,513 7,540 3,770 1,885 5,656 2,828 1,414 707 2,122 1,061 3,184 1,592 796 398 199 598 299 898 449 1,348 674

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