874,500

2² × 3 × 5³ × 11 × 53

874,500 factors as 2^2 × 3 × 5^3 × 11 × 53. Its 96 positive divisors give a proper-divisor sum of 1,955,964, so this integer is abundant. The Collatz stopping time is 113 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5^3 × 11 × 53

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 2,830,464

Proper Divisor Sum 1,955,964

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #874487 ← → #874537

Radix Representation

Decimal	874500
Binary	11010101100000000100 (20 bits)
Octal	0o3254004
Hexadecimal	0xD5804

Divisor Catalog (60 of 96)

1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 53 55 60 66 75 100 106 110 125 132 150 159 165 212 220 250 265 275 300 318 330 375 500 530 550 583 636 660 750 795 825 1,060 1,100 1,166 1,325 1,375 1,500 1,590 1,650 1,749 2,332 2,650 2,750

Collatz Trajectory (113 steps to reach 1)

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

874,500 437,250 218,625 655,876 327,938 163,969 491,908 245,954 122,977 368,932 184,466 92,233 276,700 138,350 69,175 207,526 103,763 311,290 155,645 466,936 233,468 116,734 58,367 175,102 87,551 262,654 131,327 393,982 196,991 590,974 295,487 886,462 443,231 1,329,694 664,847 1,994,542 997,271 2,991,814 1,495,907 4,487,722 2,243,861 6,731,584 3,365,792 1,682,896 841,448 420,724 210,362 105,181 315,544 157,772 78,886 39,443 118,330 59,165 177,496 88,748 44,374 22,187 66,562 33,281

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