17164
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 34384
- Proper Divisor Sum (Aliquot Sum)
- 17220
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 7344
- Möbius Function
- 0
- Radical
- 8582
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 3
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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 79
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- Base-8 palindromes that start with 4.at n=30A043024
- Numbers whose base-7 representation has exactly 6 runs.at n=6A043621
- Open 3-dimensional ball numbers (version 3): a(n) is the number of integer points (i,j,k) contained in an open ball of diameter n, centered at (1/2,1/2,0).at n=32A053595
- Subminimal numbers, from minimal numbers by analogy with subfactorials.at n=52A079717
- Starting positions of strings of three 8's in the decimal expansion of Pi.at n=12A083637
- Numbers k such that 5*10^k + 2*R_k + 1 is prime, where R_k = 11...1 is the repunit (A002275) of length k.at n=16A103009
- Number of pairs of probabilistically independent subsets in a set composed of n elements.at n=9A121312
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 0, 1), (0, 0, -1), (1, 0, 0), (1, 1, -1)}.at n=10A148318
- a(n) = 686*n + 14.at n=24A157366
- Partial sums of A006156.at n=22A177736
- Number of length n+4 0..5 arrays with no disjoint pairs in any consecutive five terms having the same sum.at n=2A247401
- T(n,k)=Number of length n+4 0..k arrays with no disjoint pairs in any consecutive five terms having the same sum.at n=23A247404
- Number of length 3+4 0..n arrays with no disjoint pairs in any consecutive five terms having the same sum.at n=4A247407
- The forgotten topological index of the Aztec diamond AZ(n) (see the Ramanes et al. reference, Theorem 2.1).at n=10A292346
- Positive numbers k such that -k, -(k + 1), and -(k + 2) are 3 consecutive negative negaFibonacci-Niven numbers (A331088).at n=37A331090
- Number of ways to write n as an ordered sum of 8 nonzero triangular numbers.at n=42A340953
- a(n) is the least number k such that k and all larger numbers can be expressed as the sum of n-th powers of distinct primes.at n=1A351326
- Expansion of Sum_{0<i<j<k<l<m} q^(i+j+k+l+m)/( (1-q^i)*(1-q^j)*(1-q^k)*(1-q^l)*(1-q^m) )^2.at n=15A365665