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Atlas › Integer Profiles › Node 41,521,284

41,521,284

22 × 32 × 7 × 164767
Abundant Even Composite

41,521,284 factors as 2^2 × 3^2 × 7 × 164767. Its 36 positive divisors give a proper-divisor sum of 78,429,820, so this integer is abundant. The Collatz stopping time is 103 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 7 × 164767
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 119,951,104
Proper Divisor Sum 78,429,820
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #41521283 ← → #41521303

Radix Representation

Decimal 41521284
Binary 10011110011001000010000100 (26 bits)
Octal 0o236310204
Hexadecimal 0x2799084

Divisor Catalog (36)

1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 164,767 329,534 494,301 659,068 988,602 1,153,369 1,482,903 1,977,204 2,306,738 2,965,806 3,460,107 4,613,476 5,931,612 6,920,214 10,380,321 13,840,428 20,760,642 41,521,284

Collatz Trajectory (103 steps to reach 1)

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

41,521,284 20,760,642 10,380,321 31,140,964 15,570,482 7,785,241 23,355,724 11,677,862 5,838,931 17,516,794 8,758,397 26,275,192 13,137,596 6,568,798 3,284,399 9,853,198 4,926,599 14,779,798 7,389,899 22,169,698 11,084,849 33,254,548 16,627,274 8,313,637 24,940,912 12,470,456 6,235,228 3,117,614 1,558,807 4,676,422 2,338,211 7,014,634 3,507,317 10,521,952 5,260,976 2,630,488 1,315,244 657,622 328,811 986,434 493,217 1,479,652 739,826 369,913 1,109,740 554,870 277,435 832,306 416,153 1,248,460 624,230 312,115 936,346 468,173 1,404,520 702,260 351,130 175,565 526,696 263,348

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