17151
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 22872
- Proper Divisor Sum (Aliquot Sum)
- 5721
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 11432
- Möbius Function
- 1
- Radical
- 17151
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- 234
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- Discriminants of quintic fields with 2 complex conjugates (negated).at n=27A023684
- Sums of distinct powers of 7.at n=41A033044
- Positive numbers having the same set of digits in base 2 and base 7.at n=35A037412
- Sums of 3 distinct powers of 7.at n=13A038482
- Numerators of continued fraction convergents to sqrt(938).at n=9A042814
- Largest coefficient in expansion of (1 + x + x^2 + ... + x^(n-1))^5 = ((1-x^n)/(1-x))^5, i.e., the coefficient of x^floor(5*(n-1)/2) and of x^ceiling(5*(n-1)/2); also number of compositions of floor(5*(n+1)/2) into exactly 5 positive integers each no more than n.at n=13A077044
- Number of ordered quintuples (a,b,c,d,e), -n <= a,b,c,d,e <= n, such that a+b+c+d+e = 0.at n=6A083669
- For n, k > 0, let T(n, k) be given by T(n, 1) = n and T(n, k+1) = k*T(n, k) + 1. a(n) is the sum of the n-th antidiagonal.at n=7A084757
- Semiprimes for which both the sum and the product of the digits is also a semiprime.at n=38A118690
- A sequence of asymptotic density zeta(9) - 1, where zeta is the Riemann zeta function.at n=34A143035
- a(n) = 14*n^2 + 1.at n=34A158482
- Number of binary strings of length n with no substrings equal to 0000, 0011 or 1101.at n=19A164431
- a(n) = Sum_{i+j+k=n, i,j,k >= 1} tau(i)*tau(j)*tau(k), where tau() = A000005().at n=33A191829
- Number of arrays of n integers in -6..6 with sum zero.at n=5A201550
- Square array read by diagonals: T(n,k) = number of arrays of n integers in -k..k with sum equal to 0.at n=49A201552
- Number of (n+1) X (4+1) 0..1 arrays with every 2 X 2 subblock antidiagonal maximum minus diagonal minimum nondecreasing horizontally and diagonal maximum minus antidiagonal minimum nondecreasing vertically.at n=25A253393
- Isolated deficient numbers that are divisible by 3.at n=24A273255
- Decimal representation of the diagonal from the origin to the corner of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 485", based on the 5-celled von Neumann neighborhood.at n=15A288595
- Decimal representation of the diagonal from the origin to the corner of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 525", based on the 5-celled von Neumann neighborhood.at n=14A288902
- a(n) = Sum_{i=1..n} phi(i)*phi(i+1), where phi(n) = A000010(n) is Euler's totient function.at n=52A330319