8440
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 19080
- Proper Divisor Sum (Aliquot Sum)
- 10640
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3360
- Möbius Function
- 0
- Radical
- 2110
- Omega Function (Ω)
- 5
- 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
- 171
- 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
- Number of partitions of n with equal nonzero number of parts congruent to each of 0, 2 and 4 (mod 5).at n=53A035586
- Truncated square pyramid numbers: a(n) = Sum_{k = n..2*n} k^2.at n=15A050409
- Number of primes between successive Lucas numbers.at n=24A052012
- Numbers k such that pi(k) divides k.at n=31A057809
- Consider the sequence {b(m)} of nonprimes; sequence gives values of m where gcd{m, b(m)} increases.at n=31A058011
- A list of equal temperaments (equal divisions of the octave) whose nearest scale steps are closer and closer approximations to the ratios of three complementary pairs of simple musical tones: 7/6 and 12/7, 6/5 and 5/3 and 7/5 and 10/7.at n=26A060529
- Number of cycles in range [A014137(n-1)..A014138(n-1)] of permutation A082335/A082336.at n=11A089421
- Numbers m such that m#*2^m - 1 is prime, where m# = A002110(m).at n=23A091421
- Absolute value of difference between counts of uninterrupted runs of 2 primes in A092639 and A092640.at n=10A092641
- Binomial transform of A048654: generalized Pellian with second term equal to 4.at n=7A111567
- Coefficient array of numerator polynomials of o.g.f.s (rising powers) for the columns of triangle A008517 (second-order Eulerian numbers).at n=13A112692
- a(n) = Sum_{k=0..floor(n/2)} (n-k)^2.at n=30A129371
- n-th single or isolated number*n-th non-single or nonisolated number.at n=32A167885
- Wiener index of the n-pan graph.at n=39A180861
- Molecular topological indices of the web graphs.at n=9A192850
- Number of ordered triples (w,x,y) with all terms in {-n,...-1,1,...,n} and -1<=2w+x+y<=1.at n=38A211620
- Smallest k such that the number k^n in its decimal representation has a prime number of copies of the digit d for each d from 0 through 9.at n=25A217051
- E.g.f. satisfies: A(x) = 1 + x*Sum_{n>=0} log(A(n*x))^n / n!.at n=5A221100
- Sum of the divisors of n^3 - 1.at n=18A234860
- Number of length n+3 0..5 arrays with some disjoint pairs in every consecutive four terms having the same sum.at n=5A247530