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Atlas › Integer Profiles › Node 41,003,840

41,003,840

26 × 5 × 97 × 1321
Abundant Even Composite

41,003,840 factors as 2^6 × 5 × 97 × 1321. Its 56 positive divisors give a proper-divisor sum of 57,717,832, so this integer is abundant. The Collatz stopping time is 129 steps.

Prime Factor Structure

Factorization String 2^6 × 5 × 97 × 1321
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 98,721,672
Proper Divisor Sum 57,717,832
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #41003827 ← → #41003857

Radix Representation

Decimal 41003840
Binary 10011100011010101101000000 (26 bits)
Octal 0o234325500
Hexadecimal 0x271AB40

Divisor Catalog (56)

1 2 4 5 8 10 16 20 32 40 64 80 97 160 194 320 388 485 776 970 1,321 1,552 1,940 2,642 3,104 3,880 5,284 6,208 6,605 7,760 10,568 13,210 15,520 21,136 26,420 31,040 42,272 52,840 84,544 105,680 128,137 211,360 256,274 422,720 512,548 640,685 1,025,096 1,281,370 2,050,192 2,562,740 4,100,384 5,125,480 8,200,768 10,250,960 20,501,920 41,003,840

Collatz Trajectory (129 steps to reach 1)

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

41,003,840 20,501,920 10,250,960 5,125,480 2,562,740 1,281,370 640,685 1,922,056 961,028 480,514 240,257 720,772 360,386 180,193 540,580 270,290 135,145 405,436 202,718 101,359 304,078 152,039 456,118 228,059 684,178 342,089 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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