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41,004,170

2 × 5 × 17 × 23 × 10487
Deficient Even Composite

41,004,170 factors as 2 × 5 × 17 × 23 × 10487. Its 32 positive divisors give a proper-divisor sum of 40,550,518, so this integer is deficient. The Collatz stopping time is 129 steps.

Prime Factor Structure

Factorization String 2 × 5 × 17 × 23 × 10487
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 81,554,688
Proper Divisor Sum 40,550,518
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #41004157 ← → #41004181

Radix Representation

Decimal 41004170
Binary 10011100011010110010001010 (26 bits)
Octal 0o234326212
Hexadecimal 0x271AC8A

Divisor Catalog (32)

1 2 5 10 17 23 34 46 85 115 170 230 391 782 1,955 3,910 10,487 20,974 52,435 104,870 178,279 241,201 356,558 482,402 891,395 1,206,005 1,782,790 2,412,010 4,100,417 8,200,834 20,502,085 41,004,170

Collatz Trajectory (129 steps to reach 1)

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

41,004,170 20,502,085 61,506,256 30,753,128 15,376,564 7,688,282 3,844,141 11,532,424 5,766,212 2,883,106 1,441,553 4,324,660 2,162,330 1,081,165 3,243,496 1,621,748 810,874 405,437 1,216,312 608,156 304,078 152,039 456,118 228,059 684,178 342,089 1,026,268 513,134 256,567 769,702 384,851 1,154,554 577,277 1,731,832 865,916 432,958 216,479 649,438 324,719 974,158 487,079 1,461,238 730,619 2,191,858 1,095,929 3,287,788 1,643,894 821,947 2,465,842 1,232,921 3,698,764 1,849,382 924,691 2,774,074 1,387,037 4,161,112 2,080,556 1,040,278 520,139 1,560,418

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