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Atlas › Integer Profiles › Node 10,272,015

10,272,015

34 × 5 × 13 × 1951
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^4 × 5 × 13 × 1951
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 19,840,128
Proper Divisor Sum 9,568,113
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #10272013 ← → #10272043

Radix Representation

Decimal 10272015
Binary 100111001011110100001111 (24 bits)
Octal 0o47136417
Hexadecimal 0x9CBD0F

Divisor Catalog (40)

1 3 5 9 13 15 27 39 45 65 81 117 135 195 351 405 585 1,053 1,755 1,951 5,265 5,853 9,755 17,559 25,363 29,265 52,677 76,089 87,795 126,815 158,031 228,267 263,385 380,445 684,801 790,155 1,141,335 2,054,403 3,424,005 10,272,015

Collatz Trajectory (220 steps to reach 1)

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

10,272,015 30,816,046 15,408,023 46,224,070 23,112,035 69,336,106 34,668,053 104,004,160 52,002,080 26,001,040 13,000,520 6,500,260 3,250,130 1,625,065 4,875,196 2,437,598 1,218,799 3,656,398 1,828,199 5,484,598 2,742,299 8,226,898 4,113,449 12,340,348 6,170,174 3,085,087 9,255,262 4,627,631 13,882,894 6,941,447 20,824,342 10,412,171 31,236,514 15,618,257 46,854,772 23,427,386 11,713,693 35,141,080 17,570,540 8,785,270 4,392,635 13,177,906 6,588,953 19,766,860 9,883,430 4,941,715 14,825,146 7,412,573 22,237,720 11,118,860 5,559,430 2,779,715 8,339,146 4,169,573 12,508,720 6,254,360 3,127,180 1,563,590 781,795 2,345,386

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