17401
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 17402
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 17400
- Möbius Function
- -1
- Radical
- 17401
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 79
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 2002
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes that are each the sum of two, three, and four consecutive composite numbers.at n=20A060339
- Primes p such that x^5 = 2 has a solution mod p, but x^(5^2) = 2 has no solution mod p.at n=13A070182
- Pascal-(1,5,1) array.at n=49A081580
- Pascal-(1,5,1) array.at n=50A081580
- Primes p of the form 2*prime(k) + 3 such that 2*prime(k+1) + 3 is the next prime after p.at n=33A089528
- a(n) = n^3 - 7*n + 7.at n=25A106734
- Minimal set of prime-strings in base 12 in the sense of A071062.at n=12A110600
- Minimal set in the sense of A071062 of prime-strings in base 12 for primes of the form 4n+1.at n=26A111057
- a(n) = n^3 + 71*n + 1.at n=25A124363
- Primes of the form 76x^2+20xy+145y^2.at n=32A140629
- Primes congruent to 55 mod 59.at n=36A142782
- Primes congruent to 16 mod 61.at n=30A142814
- a(n) = -1 - 2*n + n^2 + 2*n^3 + n^4.at n=11A165568
- a(2n)=A165568(n). a(2n+1)=A165563(n).at n=22A171733
- Partial sums of A048890.at n=16A172973
- E.g.f.: 1/sqrt(cos(x)*cosh(x) - sin(x)*sinh(x)), omitting the zero-valued coefficients of odd powers of x.at n=4A185071
- Centered 40-gonal numbers.at n=29A195317
- Number of n X 3 0..4 arrays with each element x equal to the number of its horizontal and vertical neighbors equal to 4,3,2,1,2 for x=0,1,2,3,4.at n=8A197237
- T(n,k) = number of n X k 0..4 arrays with each element x equal to the number of its horizontal and vertical neighbors equal to 4,3,2,1,2 for x=0,1,2,3,4.at n=57A197242
- T(n,k) = number of n X k 0..4 arrays with each element x equal to the number of its horizontal and vertical neighbors equal to 4,3,2,1,2 for x=0,1,2,3,4.at n=63A197242