17077
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 17078
- 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
- 17076
- Möbius Function
- -1
- Radical
- 17077
- 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
- 66
- 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
- 1969
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of points of norm <= n in cubic lattice.at n=16A000605
- Primes p such that (p+1)/2 and (p+2)/3 are also primes.at n=36A036570
- Closed 3-dimensional ball numbers (version 1): a(n)= number of integer points (i,j,k) contained in a closed ball of diameter n, centered at (0,0,0).at n=32A053591
- Expansion of 1/Product_{ n >= 2, n not of the form 2^k-1 } (1 - x^n).at n=57A078657
- Primes arising in A085042: a(n) = the n-th partial sum of A085042.at n=29A085043
- Primes p such that p - q = 24, where q is the previous prime before p; or prime numbers preceded by precisely 23 composite numbers.at n=27A126720
- Prime numbers, isolated from neighboring primes by >14.at n=26A137874
- Primes congruent to 11 mod 53.at n=38A142541
- Primes congruent to 26 mod 59.at n=29A142753
- Primes congruent to 58 mod 61.at n=28A142856
- 1/12 the number of (n+2)X4 0..2 arrays with each 3X3 subblock containing one of one value, three of another, and five of the last.at n=2A184500
- 1/12 the number of (n+2)X5 0..2 arrays with each 3X3 subblock containing one of one value, three of another, and five of the last.at n=1A184501
- T(n,k)=1/12 the number of (n+2)X(k+2) 0..2 arrays with each 3X3 subblock containing one of one value, three of another, and five of the last.at n=7A184505
- T(n,k)=1/12 the number of (n+2)X(k+2) 0..2 arrays with each 3X3 subblock containing one of one value, three of another, and five of the last.at n=8A184505
- Primes having only {0, 1, 7} as digits.at n=26A199327
- Primes whose base-6 representation also is the base-3 representation of a prime.at n=15A235469
- Number of scalene triangles, distinct up to congruence, on a centered hexagonal grid of size n.at n=11A241236
- Number of length n permutations avoiding (231,{1},{}) and (132,{},{2}).at n=11A249560
- Prime numbers that have a decagonal (10 sides) Voronoi cell in the Voronoi diagram of the Ulam prime spiral.at n=4A257748
- Least prime p such that 3 + 4*prime(p*n) = 5*prime(q*n) for some prime q.at n=17A260886