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Atlas › Integer Profiles › Node 41,580,708

41,580,708

22 × 3 × 13 × 17 × 15679
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 13 × 17 × 15679
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 110,638,080
Proper Divisor Sum 69,057,372
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #41580701 ← → #41580709

Radix Representation

Decimal 41580708
Binary 10011110100111100010100100 (26 bits)
Octal 0o236474244
Hexadecimal 0x27A78A4

Divisor Catalog (48)

1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 156 204 221 442 663 884 1,326 2,652 15,679 31,358 47,037 62,716 94,074 188,148 203,827 266,543 407,654 533,086 611,481 799,629 815,308 1,066,172 1,222,962 1,599,258 2,445,924 3,198,516 3,465,059 6,930,118 10,395,177 13,860,236 20,790,354 41,580,708

Collatz Trajectory (165 steps to reach 1)

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

41,580,708 20,790,354 10,395,177 31,185,532 15,592,766 7,796,383 23,389,150 11,694,575 35,083,726 17,541,863 52,625,590 26,312,795 78,938,386 39,469,193 118,407,580 59,203,790 29,601,895 88,805,686 44,402,843 133,208,530 66,604,265 199,812,796 99,906,398 49,953,199 149,859,598 74,929,799 224,789,398 112,394,699 337,184,098 168,592,049 505,776,148 252,888,074 126,444,037 379,332,112 189,666,056 94,833,028 47,416,514 23,708,257 71,124,772 35,562,386 17,781,193 53,343,580 26,671,790 13,335,895 40,007,686 20,003,843 60,011,530 30,005,765 90,017,296 45,008,648 22,504,324 11,252,162 5,626,081 16,878,244 8,439,122 4,219,561 12,658,684 6,329,342 3,164,671 9,494,014

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