413,083

11 × 17 × 47²

413,083 factors as 11 × 17 × 47^2. Its 12 positive divisors give a proper-divisor sum of 74,429, so this integer is deficient. The Collatz stopping time is 143 steps.

Prime Factor Structure

Factorization String 11 × 17 × 47^2

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 487,512

Proper Divisor Sum 74,429

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #413081 ← → #413087

Radix Representation

Decimal	413083
Binary	1100100110110011011 (19 bits)
Octal	0o1446633
Hexadecimal	0x64D9B

Divisor Catalog (12)

1 11 17 47 187 517 799 2,209 8,789 24,299 37,553 413,083

Collatz Trajectory (143 steps to reach 1)

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

413,083 1,239,250 619,625 1,858,876 929,438 464,719 1,394,158 697,079 2,091,238 1,045,619 3,136,858 1,568,429 4,705,288 2,352,644 1,176,322 588,161 1,764,484 882,242 441,121 1,323,364 661,682 330,841 992,524 496,262 248,131 744,394 372,197 1,116,592 558,296 279,148 139,574 69,787 209,362 104,681 314,044 157,022 78,511 235,534 117,767 353,302 176,651 529,954 264,977 794,932 397,466 198,733 596,200 298,100 149,050 74,525 223,576 111,788 55,894 27,947 83,842 41,921 125,764 62,882 31,441 94,324

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