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Atlas › Integer Profiles › Node 41,005,530

41,005,530

2 × 32 × 5 × 17 × 26801
Abundant Even Composite

41,005,530 factors as 2 × 3^2 × 5 × 17 × 26801. Its 48 positive divisors give a proper-divisor sum of 71,884,494, so this integer is abundant. The Collatz stopping time is 116 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 17 × 26801
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 112,890,024
Proper Divisor Sum 71,884,494
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #41005519 ← → #41005543

Radix Representation

Decimal 41005530
Binary 10011100011011000111011010 (26 bits)
Octal 0o234330732
Hexadecimal 0x271B1DA

Divisor Catalog (48)

1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1,530 26,801 53,602 80,403 134,005 160,806 241,209 268,010 402,015 455,617 482,418 804,030 911,234 1,206,045 1,366,851 2,278,085 2,412,090 2,733,702 4,100,553 4,556,170 6,834,255 8,201,106 13,668,510 20,502,765 41,005,530

Collatz Trajectory (116 steps to reach 1)

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

41,005,530 20,502,765 61,508,296 30,754,148 15,377,074 7,688,537 23,065,612 11,532,806 5,766,403 17,299,210 8,649,605 25,948,816 12,974,408 6,487,204 3,243,602 1,621,801 4,865,404 2,432,702 1,216,351 3,649,054 1,824,527 5,473,582 2,736,791 8,210,374 4,105,187 12,315,562 6,157,781 18,473,344 9,236,672 4,618,336 2,309,168 1,154,584 577,292 288,646 144,323 432,970 216,485 649,456 324,728 162,364 81,182 40,591 121,774 60,887 182,662 91,331 273,994 136,997 410,992 205,496 102,748 51,374 25,687 77,062 38,531 115,594 57,797 173,392 86,696 43,348

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