17095
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
- 8
- Divisor Sum
- 22176
- Proper Divisor Sum (Aliquot Sum)
- 5081
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 12576
- Möbius Function
- -1
- Radical
- 17095
- Omega Function (Ω)
- 3
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 128
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- Numbers k such that k, k+1, k+2 and k+3 have the same number of divisors.at n=20A006601
- a(n) = sum of squares of first n positive integers congruent to 1 mod 4.at n=14A024381
- Arithmetic mean of largest subset of {A063676(1), ......., A063676(n-1)} such that a(n) is an integer and a(n) is maximal.at n=49A063678
- Expansion of psi(x^2) / f(-x) in powers of x where psi(), f() are Ramanujan theta functions.at n=32A098613
- A generalized Chebyshev transform of the Jacobsthal numbers.at n=11A105867
- Number of binary arrays indicating the locations of trailing edge maxima of a random length-n 0..5 array extended with zeros and convolved with -1,2,-1.at n=17A222040
- Number of nX2 0..1 arrays with exactly floor(nX2/2) elements unequal to at least one horizontal or vertical neighbor, with new values introduced in row major 0..1 order.at n=11A222284
- Number of nX6 0..2 arrays with exactly floor(nX6/2) elements unequal to at least one horizontal, diagonal or antidiagonal neighbor, with new values introduced in row major 0..2 order.at n=3A222486
- T(n,k)=Number of nXk 0..2 arrays with exactly floor(nXk/2) elements unequal to at least one horizontal, diagonal or antidiagonal neighbor, with new values introduced in row major 0..2 order.at n=39A222488
- Number of 4Xn 0..2 arrays with exactly floor(4Xn/2) elements unequal to at least one horizontal, diagonal or antidiagonal neighbor, with new values introduced in row major 0..2 order.at n=5A222491
- Number of (n+2) X (2+2) 0..3 arrays with every 3 X 3 subblock row and column sum not equal to 0 3 5 6 or 7 and every 3 X 3 diagonal and antidiagonal sum equal to 0 3 5 6 or 7.at n=18A252248
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 489", based on the 5-celled von Neumann neighborhood.at n=28A272512
- Numbers k such that (83*10^k - 29) / 9 is prime.at n=21A278418
- Number of nX4 0..1 arrays with every element equal to 2 or 3 king-move adjacent elements, with upper left element zero.at n=14A297810
- Row 4 of A328464: a(n) = A276156(16n - 8) / 30.at n=10A328467
- Consecutive states of the linear congruential pseudo-random number generator (31481*s+21139) mod 10^5 when started at s=1.at n=26A384341
- a(n) = Stirling2(n,2)^2 + Stirling2(n,3).at n=7A384988