960,792

2³ × 3 × 7² × 19 × 43

Prime Factor Structure

Factorization String 2^3 × 3 × 7^2 × 19 × 43

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 3,009,600

Proper Divisor Sum 2,048,808

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #960763 ← → #960793

Radix Representation

Decimal	960792
Binary	11101010100100011000 (20 bits)
Octal	0o3524430
Hexadecimal	0xEA918

Divisor Catalog (60 of 96)

1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 43 49 56 57 76 84 86 98 114 129 133 147 152 168 172 196 228 258 266 294 301 344 392 399 456 516 532 588 602 798 817 903 931 1,032 1,064 1,176 1,204 1,596 1,634 1,806 1,862 2,107 2,408 2,451 2,793

Collatz Trajectory (69 steps to reach 1)

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

960,792 480,396 240,198 120,099 360,298 180,149 540,448 270,224 135,112 67,556 33,778 16,889 50,668 25,334 12,667 38,002 19,001 57,004 28,502 14,251 42,754 21,377 64,132 32,066 16,033 48,100 24,050 12,025 36,076 18,038 9,019 27,058 13,529 40,588 20,294 10,147 30,442 15,221 45,664 22,832 11,416 5,708 2,854 1,427 4,282 2,141 6,424 3,212 1,606 803 2,410 1,205 3,616 1,808 904 452 226 113 340 170

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