8610
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 24192
- Proper Divisor Sum (Aliquot Sum)
- 15582
- 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
- 1920
- Möbius Function
- -1
- Radical
- 8610
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 5
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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 78
- 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
- yes
- Odd
- no
Appears in sequences
- Expansion of (Product_{j>=1} (1-(-x)^j) - 1)^9 in powers of x.at n=27A001487
- Sum of 10 nonzero 8th powers.at n=19A003388
- Orders of non-cyclic simple groups (divided by 4).at n=23A008976
- a(n) = floor( n*(n-1)*(n-2)/8 ).at n=42A011890
- Expansion of e.g.f. arcsin(cosh(x) * log(x+1)).at n=7A012758
- Expansion of 1/(1-x^10-x^11-x^12-x^13-x^14-x^15-x^16-x^17).at n=73A017893
- "CHK" (necklace, identity, unlabeled) transform of 1, 2, 3, 4, ...at n=11A032170
- a(n) = floor(n^2/4)*(n/2).at n=41A034828
- Numbers whose base-4 representation contains exactly two 0's and four 2's.at n=35A045051
- Products of exactly 5 distinct primes.at n=16A046387
- a(n) = ceiling(n*(n+1)*(n+2)/8).at n=40A047866
- a(n) = Sum_{d|n} p(d), where p(d) = A000041 = number of partitions of d.at n=31A047968
- Numbers that are divisible by exactly 5 different primes.at n=23A051270
- a(n) is both the sum of n+1 consecutive integers and the sum of the n immediately higher consecutive integers.at n=20A059270
- Non-palindromic number and its reversal are both multiples of 14.at n=31A062913
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 85 ).at n=33A063358
- Inverse EULER transform of A064831 (with its initial 1 omitted).at n=12A072337
- a(n) = rad(n(n+1)(n+2)), where rad(m) is the largest squarefree number dividing m (see A007947).at n=39A078637
- Triangle of binomial(n,k)*(binomial(n+k,k)-binomial(n+k-2,k-1)).at n=32A080721
- Number of binary rooted trees (every node has out-degree 0 or 2) with n labeled leaves (2n-1 nodes in all) and at most 2 distinct labels. Also the number of expressions in at most two variables constructible with n-1 instances of a single commutative and nonassociative binary operator.at n=9A083563