λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,702,966

9,702,966

2 × 3 × 7 × 132 × 1367
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 7 × 13^2 × 1367
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 24,033,024
Proper Divisor Sum 14,330,058
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #9702961 ← → #9702967

Radix Representation

Decimal 9702966
Binary 100101000000111000110110 (24 bits)
Octal 0o45007066
Hexadecimal 0x940E36

Divisor Catalog (48)

1 2 3 6 7 13 14 21 26 39 42 78 91 169 182 273 338 507 546 1,014 1,183 1,367 2,366 2,734 3,549 4,101 7,098 8,202 9,569 17,771 19,138 28,707 35,542 53,313 57,414 106,626 124,397 231,023 248,794 373,191 462,046 693,069 746,382 1,386,138 1,617,161 3,234,322 4,851,483 9,702,966

Collatz Trajectory (225 steps to reach 1)

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

9,702,966 4,851,483 14,554,450 7,277,225 21,831,676 10,915,838 5,457,919 16,373,758 8,186,879 24,560,638 12,280,319 36,840,958 18,420,479 55,261,438 27,630,719 82,892,158 41,446,079 124,338,238 62,169,119 186,507,358 93,253,679 279,761,038 139,880,519 419,641,558 209,820,779 629,462,338 314,731,169 944,193,508 472,096,754 236,048,377 708,145,132 354,072,566 177,036,283 531,108,850 265,554,425 796,663,276 398,331,638 199,165,819 597,497,458 298,748,729 896,246,188 448,123,094 224,061,547 672,184,642 336,092,321 1,008,276,964 504,138,482 252,069,241 756,207,724 378,103,862 189,051,931 567,155,794 283,577,897 850,733,692 425,366,846 212,683,423 638,050,270 319,025,135 957,075,406 478,537,703

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #9,702,965 Browse Full Index Next Integer #9,702,967 →