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Atlas › Integer Profiles › Node 5,117,211

5,117,211

32 × 112 × 37 × 127
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 11^2 × 37 × 127
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 8,409,856
Proper Divisor Sum 3,292,645
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #5117207 ← → #5117269

Radix Representation

Decimal 5117211
Binary 10011100001010100011011 (23 bits)
Octal 0o23412433
Hexadecimal 0x4E151B

Divisor Catalog (36)

1 3 9 11 33 37 99 111 121 127 333 363 381 407 1,089 1,143 1,221 1,397 3,663 4,191 4,477 4,699 12,573 13,431 14,097 15,367 40,293 42,291 46,101 51,689 138,303 155,067 465,201 568,579 1,705,737 5,117,211

Collatz Trajectory (312 steps to reach 1)

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

5,117,211 15,351,634 7,675,817 23,027,452 11,513,726 5,756,863 17,270,590 8,635,295 25,905,886 12,952,943 38,858,830 19,429,415 58,288,246 29,144,123 87,432,370 43,716,185 131,148,556 65,574,278 32,787,139 98,361,418 49,180,709 147,542,128 73,771,064 36,885,532 18,442,766 9,221,383 27,664,150 13,832,075 41,496,226 20,748,113 62,244,340 31,122,170 15,561,085 46,683,256 23,341,628 11,670,814 5,835,407 17,506,222 8,753,111 26,259,334 13,129,667 39,389,002 19,694,501 59,083,504 29,541,752 14,770,876 7,385,438 3,692,719 11,078,158 5,539,079 16,617,238 8,308,619 24,925,858 12,462,929 37,388,788 18,694,394 9,347,197 28,041,592 14,020,796 7,010,398

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