8715
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 16128
- Proper Divisor Sum (Aliquot Sum)
- 7413
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3936
- Möbius Function
- 1
- Radical
- 8715
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 140
- 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
- Number of partitions of n into parts not of the form 11k, 11k+4 or 11k-4. Also number of partitions with at most 3 parts of size 1 and differences between parts at distance 4 are greater than 1.at n=38A035947
- McKay-Thompson series of class 20B for Monster.at n=20A058551
- Numbers k such that 7*k! + 1 is prime.at n=16A076683
- Multiples of 15 containing a 15 in their decimal representation.at n=41A121035
- A convolution triangle of numbers based on A001906 (even-indexed Fibonacci numbers).at n=50A125662
- A106486-encodings of combinatorial games equivalent to game {0|0}.at n=21A125994
- Number of different values of i^2+j^2+k^2+l^2+m^2+n^2 for i,j,k,l,m,n in [0,n].at n=40A132438
- Odd squarefree numbers n such that the cyclotomic polynomial Phi(n,x) has height 4.at n=39A152942
- Partial sums of A077482.at n=8A174517
- Number of sequences of n integers p(i) i=0..n-1 with 0<=p(i)<=6*i and |p(i)-p(i-1)|<=6.at n=4A180902
- T(n,k)=number of sequences of n integers p(i) i=0..n-1 0<=p(i)<=k*i and |p(i+1)-p(i)|<=k.at n=49A180906
- Numbers such that the largest prime factor equals the sum of the squares of the other prime factors.at n=43A185077
- Triangle read by rows: T(n,k) is the number of cycle-up-down permutations of {1,2,...,n} having k cycles (1<=k<=n).at n=40A186366
- Number of isomorphism classes of nanocones with 3 pentagons and a nearsymmetric boundary of length n.at n=28A198014
- a(n) = smallest k having at least four prime divisors d such that (d + n) | (k + n).at n=20A202159
- Triangle of coefficients of Chebyshev's S(n,x-3) polynomials (exponents of x in increasing order).at n=50A207815
- Number of subsets of {1,2,...,n-12} without differences equal to 2, 4, 6, 8, 10 or 12.at n=47A224813
- Products p*q*r*s of distinct primes for which (p*q*r*s - 1)/2 is prime.at n=17A234498
- Number of partitions p of n such that if h = min(p), then h is an (h,1)-separator of p; see Comments.at n=48A239497
- Quasi-Carmichael numbers to at least one positive base.at n=43A259283