1,667,520

2⁶ × 3³ × 5 × 193

Prime Factor Structure

Factorization String 2^6 × 3^3 × 5 × 193

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 112

Divisor Sum (σ) 5,913,120

Proper Divisor Sum 4,245,600

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #1667509 ← → #1667537

Radix Representation

Decimal	1667520
Binary	110010111000111000000 (21 bits)
Octal	0o6270700
Hexadecimal	0x1971C0

Divisor Catalog (60 of 112)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 193 216 240 270 288 320 360 386 432 480 540 576 579 720 772 864 960 965 1,080 1,158 1,440 1,544 1,728 1,737

Collatz Trajectory (176 steps to reach 1)

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

1,667,520 833,760 416,880 208,440 104,220 52,110 26,055 78,166 39,083 117,250 58,625 175,876 87,938 43,969 131,908 65,954 32,977 98,932 49,466 24,733 74,200 37,100 18,550 9,275 27,826 13,913 41,740 20,870 10,435 31,306 15,653 46,960 23,480 11,740 5,870 2,935 8,806 4,403 13,210 6,605 19,816 9,908 4,954 2,477 7,432 3,716 1,858 929 2,788 1,394 697 2,092 1,046 523 1,570 785 2,356 1,178 589 1,768

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