467,010

2 × 3² × 5 × 5189

467,010 factors as 2 × 3^2 × 5 × 5189. Its 24 positive divisors give a proper-divisor sum of 747,450, so this integer is abundant. The Collatz stopping time is 94 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 5189

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,214,460

Proper Divisor Sum 747,450

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #467009 ← → #467017

Radix Representation

Decimal	467010
Binary	1110010000001000010 (19 bits)
Octal	0o1620102
Hexadecimal	0x72042

Divisor Catalog (24)

1 2 3 5 6 9 10 15 18 30 45 90 5,189 10,378 15,567 25,945 31,134 46,701 51,890 77,835 93,402 155,670 233,505 467,010

Collatz Trajectory (94 steps to reach 1)

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

467,010 233,505 700,516 350,258 175,129 525,388 262,694 131,347 394,042 197,021 591,064 295,532 147,766 73,883 221,650 110,825 332,476 166,238 83,119 249,358 124,679 374,038 187,019 561,058 280,529 841,588 420,794 210,397 631,192 315,596 157,798 78,899 236,698 118,349 355,048 177,524 88,762 44,381 133,144 66,572 33,286 16,643 49,930 24,965 74,896 37,448 18,724 9,362 4,681 14,044 7,022 3,511 10,534 5,267 15,802 7,901 23,704 11,852 5,926 2,963

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