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Atlas › Integer Profiles › Node 41,365,458

41,365,458

2 × 33 × 113 × 6779
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^3 × 113 × 6779
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 92,750,400
Proper Divisor Sum 51,384,942
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #41365421 ← → #41365463

Radix Representation

Decimal 41365458
Binary 10011101110010111111010010 (26 bits)
Octal 0o235627722
Hexadecimal 0x2772FD2

Divisor Catalog (32)

1 2 3 6 9 18 27 54 113 226 339 678 1,017 2,034 3,051 6,102 6,779 13,558 20,337 40,674 61,011 122,022 183,033 366,066 766,027 1,532,054 2,298,081 4,596,162 6,894,243 13,788,486 20,682,729 41,365,458

Collatz Trajectory (284 steps to reach 1)

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

41,365,458 20,682,729 62,048,188 31,024,094 15,512,047 46,536,142 23,268,071 69,804,214 34,902,107 104,706,322 52,353,161 157,059,484 78,529,742 39,264,871 117,794,614 58,897,307 176,691,922 88,345,961 265,037,884 132,518,942 66,259,471 198,778,414 99,389,207 298,167,622 149,083,811 447,251,434 223,625,717 670,877,152 335,438,576 167,719,288 83,859,644 41,929,822 20,964,911 62,894,734 31,447,367 94,342,102 47,171,051 141,513,154 70,756,577 212,269,732 106,134,866 53,067,433 159,202,300 79,601,150 39,800,575 119,401,726 59,700,863 179,102,590 89,551,295 268,653,886 134,326,943 402,980,830 201,490,415 604,471,246 302,235,623 906,706,870 453,353,435 1,360,060,306 680,030,153 2,040,090,460

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