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Atlas › Integer Profiles › Node 5,084,955

5,084,955

32 × 5 × 173 × 23
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 5 × 17^3 × 23
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 9,771,840
Proper Divisor Sum 4,686,885
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #5084939 ← → #5084957

Radix Representation

Decimal 5084955
Binary 10011011001011100011011 (23 bits)
Octal 0o23313433
Hexadecimal 0x4D971B

Divisor Catalog (48)

1 3 5 9 15 17 23 45 51 69 85 115 153 207 255 289 345 391 765 867 1,035 1,173 1,445 1,955 2,601 3,519 4,335 4,913 5,865 6,647 13,005 14,739 17,595 19,941 24,565 33,235 44,217 59,823 73,695 99,705 112,999 221,085 299,115 338,997 564,995 1,016,991 1,694,985 5,084,955

Collatz Trajectory (250 steps to reach 1)

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

5,084,955 15,254,866 7,627,433 22,882,300 11,441,150 5,720,575 17,161,726 8,580,863 25,742,590 12,871,295 38,613,886 19,306,943 57,920,830 28,960,415 86,881,246 43,440,623 130,321,870 65,160,935 195,482,806 97,741,403 293,224,210 146,612,105 439,836,316 219,918,158 109,959,079 329,877,238 164,938,619 494,815,858 247,407,929 742,223,788 371,111,894 185,555,947 556,667,842 278,333,921 835,001,764 417,500,882 208,750,441 626,251,324 313,125,662 156,562,831 469,688,494 234,844,247 704,532,742 352,266,371 1,056,799,114 528,399,557 1,585,198,672 792,599,336 396,299,668 198,149,834 99,074,917 297,224,752 148,612,376 74,306,188 37,153,094 18,576,547 55,729,642 27,864,821 83,594,464 41,797,232

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