836,640

2⁵ × 3² × 5 × 7 × 83

Prime Factor Structure

Factorization String 2^5 × 3^2 × 5 × 7 × 83

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 3,302,208

Proper Divisor Sum 2,465,568

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #836623 ← → #836657

Radix Representation

Decimal	836640
Binary	11001100010000100000 (20 bits)
Octal	0o3142040
Hexadecimal	0xCC420

Divisor Catalog (60 of 144)

1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 83 84 90 96 105 112 120 126 140 144 160 166 168 180 210 224 240 249 252 280 288 315 332 336 360 415 420

Collatz Trajectory (175 steps to reach 1)

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

836,640 418,320 209,160 104,580 52,290 26,145 78,436 39,218 19,609 58,828 29,414 14,707 44,122 22,061 66,184 33,092 16,546 8,273 24,820 12,410 6,205 18,616 9,308 4,654 2,327 6,982 3,491 10,474 5,237 15,712 7,856 3,928 1,964 982 491 1,474 737 2,212 1,106 553 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108 3,554 1,777 5,332

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