2⁶ × 5² × 7²

Prime Factor Structure

Factorization String 2^6 × 5^2 × 7^2

Distinct Prime Factors 3

Square Status Yes (√78400 = 280)

Abundance Measure Abundant

Analytical Properties

Total Divisors 63

Divisor Sum (σ) 224,409

Proper Divisor Sum 146,009

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #78367 ← → #78401

1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 49 50 56 64 70 80 98 100 112 140 160 175 196 200 224 245 280 320 350 392 400 448 490 560 700 784 800 980 1,120 1,225 1,400 1,568 1,600 1,960 2,240 2,450 2,800 3,136 3,920 4,900 5,600 7,840 9,800 11,200 15,680

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

78,400 39,200 19,600 9,800 4,900 2,450 1,225 3,676 1,838 919 2,758 1,379 4,138 2,069 6,208 3,104 1,552 776 388 194 97 292 146 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

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