4,435,400

2³ × 5² × 67 × 331

4,435,400 has the prime decomposition 2^3 × 5^2 × 67 × 331. Its 4 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 5^2 × 67 × 331

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 10,497,840

Proper Divisor Sum 6,062,440

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #4435397 ← → #4435423

Radix Representation

Decimal	4435400
Binary	10000111010110111001000 (23 bits)
Octal	0o20726710
Hexadecimal	0x43ADC8

Divisor Catalog (48)

1 2 4 5 8 10 20 25 40 50 67 100 134 200 268 331 335 536 662 670 1,324 1,340 1,655 1,675 2,648 2,680 3,310 3,350 6,620 6,700 8,275 13,240 13,400 16,550 22,177 33,100 44,354 66,200 88,708 110,885 177,416 221,770 443,540 554,425 887,080 1,108,850 2,217,700 4,435,400

Collatz Trajectory (149 steps to reach 1)

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

4,435,400 2,217,700 1,108,850 554,425 1,663,276 831,638 415,819 1,247,458 623,729 1,871,188 935,594 467,797 1,403,392 701,696 350,848 175,424 87,712 43,856 21,928 10,964 5,482 2,741 8,224 4,112 2,056 1,028 514 257 772 386 193 580 290 145 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137

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