1,414,400

2⁸ × 5² × 13 × 17

1,414,400 has the prime decomposition 2^8 × 5^2 × 13 × 17. Its 4 distinct prime factors produce 108 positive divisors.

Prime Factor Structure

Factorization String 2^8 × 5^2 × 13 × 17

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 108

Divisor Sum (σ) 3,991,932

Proper Divisor Sum 2,577,532

Digit Sum / Digital Root 14 (Root: 5)

Adjacent Primes #1414397 ← → #1414409

Radix Representation

Decimal	1414400
Binary	101011001010100000000 (21 bits)
Octal	0o5312400
Hexadecimal	0x159500

Divisor Catalog (60 of 108)

1 2 4 5 8 10 13 16 17 20 25 26 32 34 40 50 52 64 65 68 80 85 100 104 128 130 136 160 170 200 208 221 256 260 272 320 325 340 400 416 425 442 520 544 640 650 680 800 832 850 884 1,040 1,088 1,105 1,280 1,300 1,360 1,600 1,664 1,700

Collatz Trajectory (137 steps to reach 1)

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

1,414,400 707,200 353,600 176,800 88,400 44,200 22,100 11,050 5,525 16,576 8,288 4,144 2,072 1,036 518 259 778 389 1,168 584 292 146 73 220 110 55 166 83 250 125 376 188 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

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