λ
Ratio Atlas

17,510,719

17510719
Deficient Odd Prime

17,510,719 factors as 17510719. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 311 steps.

Prime Factor Structure

Factorization String 17510719
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 17,510,720
Proper Divisor Sum 1
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #17510707 ← → #17510737

Radix Representation

Decimal 17510719
Binary 1000010110011000100111111 (25 bits)
Octal 0o102630477
Hexadecimal 0x10B313F

Divisor Catalog (2)

Collatz Trajectory (311 steps to reach 1)

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

17,510,719 52,532,158 26,266,079 78,798,238 39,399,119 118,197,358 59,098,679 177,296,038 88,648,019 265,944,058 132,972,029 398,916,088 199,458,044 99,729,022 49,864,511 149,593,534 74,796,767 224,390,302 112,195,151 336,585,454 168,292,727 504,878,182 252,439,091 757,317,274 378,658,637 1,135,975,912 567,987,956 283,993,978 141,996,989 425,990,968 212,995,484 106,497,742 53,248,871 159,746,614 79,873,307 239,619,922 119,809,961 359,429,884 179,714,942 89,857,471 269,572,414 134,786,207 404,358,622 202,179,311 606,537,934 303,268,967 909,806,902 454,903,451 1,364,710,354 682,355,177 2,047,065,532 1,023,532,766 511,766,383 1,535,299,150 767,649,575 2,302,948,726 1,151,474,363 3,454,423,090 1,727,211,545 5,181,634,636

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