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Atlas › Integer Profiles › Node 9,703,617

9,703,617

3 × 72 × 11 × 17 × 353
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 7^2 × 11 × 17 × 353
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 17,433,792
Proper Divisor Sum 7,730,175
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9703609 ← → #9703619

Radix Representation

Decimal 9703617
Binary 100101000001000011000001 (24 bits)
Octal 0o45010301
Hexadecimal 0x9410C1

Divisor Catalog (48)

1 3 7 11 17 21 33 49 51 77 119 147 187 231 353 357 539 561 833 1,059 1,309 1,617 2,471 2,499 3,883 3,927 6,001 7,413 9,163 11,649 17,297 18,003 27,181 27,489 42,007 51,891 66,011 81,543 126,021 190,267 198,033 294,049 462,077 570,801 882,147 1,386,231 3,234,539 9,703,617

Collatz Trajectory (313 steps to reach 1)

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

9,703,617 29,110,852 14,555,426 7,277,713 21,833,140 10,916,570 5,458,285 16,374,856 8,187,428 4,093,714 2,046,857 6,140,572 3,070,286 1,535,143 4,605,430 2,302,715 6,908,146 3,454,073 10,362,220 5,181,110 2,590,555 7,771,666 3,885,833 11,657,500 5,828,750 2,914,375 8,743,126 4,371,563 13,114,690 6,557,345 19,672,036 9,836,018 4,918,009 14,754,028 7,377,014 3,688,507 11,065,522 5,532,761 16,598,284 8,299,142 4,149,571 12,448,714 6,224,357 18,673,072 9,336,536 4,668,268 2,334,134 1,167,067 3,501,202 1,750,601 5,251,804 2,625,902 1,312,951 3,938,854 1,969,427 5,908,282 2,954,141 8,862,424 4,431,212 2,215,606

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