873,540

2² × 3² × 5 × 23 × 211

873,540 factors as 2^2 × 3^2 × 5 × 23 × 211. Its 72 positive divisors give a proper-divisor sum of 1,904,508, so this integer is abundant. The Collatz stopping time is 144 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 23 × 211

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 2,778,048

Proper Divisor Sum 1,904,508

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #873539 ← → #873541

Radix Representation

Decimal	873540
Binary	11010101010001000100 (20 bits)
Octal	0o3252104
Hexadecimal	0xD5444

Divisor Catalog (60 of 72)

1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 211 230 276 345 414 422 460 633 690 828 844 1,035 1,055 1,266 1,380 1,899 2,070 2,110 2,532 3,165 3,798 4,140 4,220 4,853 6,330 7,596 9,495 9,706 12,660 14,559 18,990 19,412 24,265 29,118 37,980

Collatz Trajectory (144 steps to reach 1)

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

873,540 436,770 218,385 655,156 327,578 163,789 491,368 245,684 122,842 61,421 184,264 92,132 46,066 23,033 69,100 34,550 17,275 51,826 25,913 77,740 38,870 19,435 58,306 29,153 87,460 43,730 21,865 65,596 32,798 16,399 49,198 24,599 73,798 36,899 110,698 55,349 166,048 83,024 41,512 20,756 10,378 5,189 15,568 7,784 3,892 1,946 973 2,920 1,460 730 365 1,096 548 274 137 412 206 103 310 155

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