612,420

2² × 3 × 5 × 59 × 173

612,420 is even and not a perfect square. Its factorization is 2^2 × 3 × 5 × 59 × 173 and its 48 divisors sum to 1,753,920.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 59 × 173

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 1,753,920

Proper Divisor Sum 1,141,500

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #612407 ← → #612439

Radix Representation

Decimal	612420
Binary	10010101100001000100 (20 bits)
Octal	0o2254104
Hexadecimal	0x95844

Divisor Catalog (48)

1 2 3 4 5 6 10 12 15 20 30 59 60 118 173 177 236 295 346 354 519 590 692 708 865 885 1,038 1,180 1,730 1,770 2,076 2,595 3,460 3,540 5,190 10,207 10,380 20,414 30,621 40,828 51,035 61,242 102,070 122,484 153,105 204,140 306,210 612,420

Collatz Trajectory (128 steps to reach 1)

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

612,420 306,210 153,105 459,316 229,658 114,829 344,488 172,244 86,122 43,061 129,184 64,592 32,296 16,148 8,074 4,037 12,112 6,056 3,028 1,514 757 2,272 1,136 568 284 142 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 1,336 668

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