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41,006,490

2 × 3 × 5 × 7 × 31 × 6299
Abundant Even Composite

41,006,490 factors as 2 × 3 × 5 × 7 × 31 × 6299. Its 64 positive divisors give a proper-divisor sum of 75,115,110, so this integer is abundant. The Collatz stopping time is 178 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 7 × 31 × 6299
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 116,121,600
Proper Divisor Sum 75,115,110
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #41006489 ← → #41006491

Radix Representation

Decimal 41006490
Binary 10011100011011010110011010 (26 bits)
Octal 0o234332632
Hexadecimal 0x271B59A

Divisor Catalog (60 of 64)

1 2 3 5 6 7 10 14 15 21 30 31 35 42 62 70 93 105 155 186 210 217 310 434 465 651 930 1,085 1,302 2,170 3,255 6,299 6,510 12,598 18,897 31,495 37,794 44,093 62,990 88,186 94,485 132,279 188,970 195,269 220,465 264,558 390,538 440,930 585,807 661,395 976,345 1,171,614 1,322,790 1,366,883 1,952,690 2,733,766 2,929,035 4,100,649 5,858,070 6,834,415

Collatz Trajectory (178 steps to reach 1)

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

41,006,490 20,503,245 61,509,736 30,754,868 15,377,434 7,688,717 23,066,152 11,533,076 5,766,538 2,883,269 8,649,808 4,324,904 2,162,452 1,081,226 540,613 1,621,840 810,920 405,460 202,730 101,365 304,096 152,048 76,024 38,012 19,006 9,503 28,510 14,255 42,766 21,383 64,150 32,075 96,226 48,113 144,340 72,170 36,085 108,256 54,128 27,064 13,532 6,766 3,383 10,150 5,075 15,226 7,613 22,840 11,420 5,710 2,855 8,566 4,283 12,850 6,425 19,276 9,638 4,819 14,458 7,229

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