526,010

2 × 5 × 23 × 2287

Starting at 526,010, the Collatz iteration reaches 1 after 195 steps. The first transition is 263005; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 23 × 2287

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 988,416

Proper Divisor Sum 462,406

Digit Sum / Digital Root 14 (Root: 5)

Adjacent Primes #525983 ← → #526027

Radix Representation

Decimal	526010
Binary	10000000011010111010 (20 bits)
Octal	0o2003272
Hexadecimal	0x806BA

Divisor Catalog (16)

1 2 5 10 23 46 115 230 2,287 4,574 11,435 22,870 52,601 105,202 263,005 526,010

Collatz Trajectory (195 steps to reach 1)

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

526,010 263,005 789,016 394,508 197,254 98,627 295,882 147,941 443,824 221,912 110,956 55,478 27,739 83,218 41,609 124,828 62,414 31,207 93,622 46,811 140,434 70,217 210,652 105,326 52,663 157,990 78,995 236,986 118,493 355,480 177,740 88,870 44,435 133,306 66,653 199,960 99,980 49,990 24,995 74,986 37,493 112,480 56,240 28,120 14,060 7,030 3,515 10,546 5,273 15,820 7,910 3,955 11,866 5,933 17,800 8,900 4,450 2,225 6,676 3,338

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