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Atlas › Integer Profiles › Node 9,506,770

9,506,770

2 × 5 × 7 × 13 × 31 × 337
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 5 × 7 × 13 × 31 × 337
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 21,805,056
Proper Divisor Sum 12,298,286
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #9506767 ← → #9506773

Radix Representation

Decimal 9506770
Binary 100100010000111111010010 (24 bits)
Octal 0o44207722
Hexadecimal 0x910FD2

Divisor Catalog (60 of 64)

1 2 5 7 10 13 14 26 31 35 62 65 70 91 130 155 182 217 310 337 403 434 455 674 806 910 1,085 1,685 2,015 2,170 2,359 2,821 3,370 4,030 4,381 4,718 5,642 8,762 10,447 11,795 14,105 20,894 21,905 23,590 28,210 30,667 43,810 52,235 61,334 73,129 104,470 135,811 146,258 153,335 271,622 306,670 365,645 679,055 731,290 950,677

Collatz Trajectory (269 steps to reach 1)

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

9,506,770 4,753,385 14,260,156 7,130,078 3,565,039 10,695,118 5,347,559 16,042,678 8,021,339 24,064,018 12,032,009 36,096,028 18,048,014 9,024,007 27,072,022 13,536,011 40,608,034 20,304,017 60,912,052 30,456,026 15,228,013 45,684,040 22,842,020 11,421,010 5,710,505 17,131,516 8,565,758 4,282,879 12,848,638 6,424,319 19,272,958 9,636,479 28,909,438 14,454,719 43,364,158 21,682,079 65,046,238 32,523,119 97,569,358 48,784,679 146,354,038 73,177,019 219,531,058 109,765,529 329,296,588 164,648,294 82,324,147 246,972,442 123,486,221 370,458,664 185,229,332 92,614,666 46,307,333 138,922,000 69,461,000 34,730,500 17,365,250 8,682,625 26,047,876 13,023,938

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