2⁶ × 5² × 19²

Prime Factor Structure

Factorization String 2^6 × 5^2 × 19^2

Distinct Prime Factors 3

Square Status Yes (√577600 = 760)

Abundance Measure Abundant

Analytical Properties

Total Divisors 63

Divisor Sum (σ) 1,499,997

Proper Divisor Sum 922,397

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #577589 ← → #577601

1 2 4 5 8 10 16 19 20 25 32 38 40 50 64 76 80 95 100 152 160 190 200 304 320 361 380 400 475 608 722 760 800 950 1,216 1,444 1,520 1,600 1,805 1,900 2,888 3,040 3,610 3,800 5,776 6,080 7,220 7,600 9,025 11,552 14,440 15,200 18,050 23,104 28,880 30,400 36,100 57,760 72,200 115,520

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

577,600 288,800 144,400 72,200 36,100 18,050 9,025 27,076 13,538 6,769 20,308 10,154 5,077 15,232 7,616 3,808 1,904 952 476 238 119 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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