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Atlas › Integer Profiles › Node 9,701,289

9,701,289

35 × 13 × 37 × 83
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^5 × 13 × 37 × 83
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 16,266,432
Proper Divisor Sum 6,565,143
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9701287 ← → #9701291

Radix Representation

Decimal 9701289
Binary 100101000000011110101001 (24 bits)
Octal 0o45003651
Hexadecimal 0x9407A9

Divisor Catalog (48)

1 3 9 13 27 37 39 81 83 111 117 243 249 333 351 481 747 999 1,053 1,079 1,443 2,241 2,997 3,071 3,159 3,237 4,329 6,723 8,991 9,213 9,711 12,987 20,169 27,639 29,133 38,961 39,923 82,917 87,399 116,883 119,769 248,751 262,197 359,307 746,253 1,077,921 3,233,763 9,701,289

Collatz Trajectory (176 steps to reach 1)

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

9,701,289 29,103,868 14,551,934 7,275,967 21,827,902 10,913,951 32,741,854 16,370,927 49,112,782 24,556,391 73,669,174 36,834,587 110,503,762 55,251,881 165,755,644 82,877,822 41,438,911 124,316,734 62,158,367 186,475,102 93,237,551 279,712,654 139,856,327 419,568,982 209,784,491 629,353,474 314,676,737 944,030,212 472,015,106 236,007,553 708,022,660 354,011,330 177,005,665 531,016,996 265,508,498 132,754,249 398,262,748 199,131,374 99,565,687 298,697,062 149,348,531 448,045,594 224,022,797 672,068,392 336,034,196 168,017,098 84,008,549 252,025,648 126,012,824 63,006,412 31,503,206 15,751,603 47,254,810 23,627,405 70,882,216 35,441,108 17,720,554 8,860,277 26,580,832 13,290,416

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