33,420

2² × 3 × 5 × 557

33,420 has the prime decomposition 2^2 × 3 × 5 × 557. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 557

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 93,744

Proper Divisor Sum 60,324

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #33413 ← → #33427

Radix Representation

Decimal	33420
Binary	1000001010001100 (16 bits)
Octal	0o101214
Hexadecimal	0x828C

Divisor Catalog (24)

1 2 3 4 5 6 10 12 15 20 30 60 557 1,114 1,671 2,228 2,785 3,342 5,570 6,684 8,355 11,140 16,710 33,420

Collatz Trajectory (129 steps to reach 1)

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

33,420 16,710 8,355 25,066 12,533 37,600 18,800 9,400 4,700 2,350 1,175 3,526 1,763 5,290 2,645 7,936 3,968 1,984 992 496 248 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336

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