29,874

2 × 3 × 13 × 383

29,874 has the prime decomposition 2 × 3 × 13 × 383. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 13 × 383

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 64,512

Proper Divisor Sum 34,638

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #29873 ← → #29879

Radix Representation

Decimal	29874
Binary	111010010110010 (15 bits)
Octal	0o72262
Hexadecimal	0x74B2

Divisor Catalog (16)

1 2 3 6 13 26 39 78 383 766 1,149 2,298 4,979 9,958 14,937 29,874

Collatz Trajectory (72 steps to reach 1)

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

29,874 14,937 44,812 22,406 11,203 33,610 16,805 50,416 25,208 12,604 6,302 3,151 9,454 4,727 14,182 7,091 21,274 10,637 31,912 15,956 7,978 3,989 11,968 5,984 2,992 1,496 748 374 187 562 281 844 422 211 634 317 952 476 238 119 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11 34

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