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Atlas › Integer Profiles › Node 41,006,210

41,006,210

2 × 5 × 7 × 172 × 2027
Abundant Even Composite

41,006,210 factors as 2 × 5 × 7 × 17^2 × 2027. Its 48 positive divisors give a proper-divisor sum of 48,647,614, so this integer is abundant. The Collatz stopping time is 178 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 17^2 × 2027
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 89,653,824
Proper Divisor Sum 48,647,614
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #41006209 ← → #41006243

Radix Representation

Decimal 41006210
Binary 10011100011011010010000010 (26 bits)
Octal 0o234332202
Hexadecimal 0x271B482

Divisor Catalog (48)

1 2 5 7 10 14 17 34 35 70 85 119 170 238 289 578 595 1,190 1,445 2,023 2,027 2,890 4,046 4,054 10,115 10,135 14,189 20,230 20,270 28,378 34,459 68,918 70,945 141,890 172,295 241,213 344,590 482,426 585,803 1,171,606 1,206,065 2,412,130 2,929,015 4,100,621 5,858,030 8,201,242 20,503,105 41,006,210

Collatz Trajectory (178 steps to reach 1)

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

41,006,210 20,503,105 61,509,316 30,754,658 15,377,329 46,131,988 23,065,994 11,532,997 34,598,992 17,299,496 8,649,748 4,324,874 2,162,437 6,487,312 3,243,656 1,621,828 810,914 405,457 1,216,372 608,186 304,093 912,280 456,140 228,070 114,035 342,106 171,053 513,160 256,580 128,290 64,145 192,436 96,218 48,109 144,328 72,164 36,082 18,041 54,124 27,062 13,531 40,594 20,297 60,892 30,446 15,223 45,670 22,835 68,506 34,253 102,760 51,380 25,690 12,845 38,536 19,268 9,634 4,817 14,452 7,226

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