476,010

2 × 3³ × 5 × 41 × 43

476,010 factors as 2 × 3^3 × 5 × 41 × 43. Its 64 positive divisors give a proper-divisor sum of 854,550, so this integer is abundant. The Collatz stopping time is 169 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 5 × 41 × 43

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 1,330,560

Proper Divisor Sum 854,550

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #476009 ← → #476023

Radix Representation

Decimal	476010
Binary	1110100001101101010 (19 bits)
Octal	0o1641552
Hexadecimal	0x7436A

Divisor Catalog (60 of 64)

1 2 3 5 6 9 10 15 18 27 30 41 43 45 54 82 86 90 123 129 135 205 215 246 258 270 369 387 410 430 615 645 738 774 1,107 1,161 1,230 1,290 1,763 1,845 1,935 2,214 2,322 3,526 3,690 3,870 5,289 5,535 5,805 8,815 10,578 11,070 11,610 15,867 17,630 26,445 31,734 47,601 52,890 79,335

Collatz Trajectory (169 steps to reach 1)

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

476,010 238,005 714,016 357,008 178,504 89,252 44,626 22,313 66,940 33,470 16,735 50,206 25,103 75,310 37,655 112,966 56,483 169,450 84,725 254,176 127,088 63,544 31,772 15,886 7,943 23,830 11,915 35,746 17,873 53,620 26,810 13,405 40,216 20,108 10,054 5,027 15,082 7,541 22,624 11,312 5,656 2,828 1,414 707 2,122 1,061 3,184 1,592 796 398 199 598 299 898 449 1,348 674 337 1,012 506

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