818,010

2 × 3² × 5 × 61 × 149

818,010 factors as 2 × 3^2 × 5 × 61 × 149. Its 48 positive divisors give a proper-divisor sum of 1,358,190, so this integer is abundant. The Collatz stopping time is 144 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 61 × 149

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 2,176,200

Proper Divisor Sum 1,358,190

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #817987 ← → #818011

Radix Representation

Decimal	818010
Binary	11000111101101011010 (20 bits)
Octal	0o3075532
Hexadecimal	0xC7B5A

Divisor Catalog (48)

1 2 3 5 6 9 10 15 18 30 45 61 90 122 149 183 298 305 366 447 549 610 745 894 915 1,098 1,341 1,490 1,830 2,235 2,682 2,745 4,470 5,490 6,705 9,089 13,410 18,178 27,267 45,445 54,534 81,801 90,890 136,335 163,602 272,670 409,005 818,010

Collatz Trajectory (144 steps to reach 1)

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

818,010 409,005 1,227,016 613,508 306,754 153,377 460,132 230,066 115,033 345,100 172,550 86,275 258,826 129,413 388,240 194,120 97,060 48,530 24,265 72,796 36,398 18,199 54,598 27,299 81,898 40,949 122,848 61,424 30,712 15,356 7,678 3,839 11,518 5,759 17,278 8,639 25,918 12,959 38,878 19,439 58,318 29,159 87,478 43,739 131,218 65,609 196,828 98,414 49,207 147,622 73,811 221,434 110,717 332,152 166,076 83,038 41,519 124,558 62,279 186,838

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