8536
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 17640
- Proper Divisor Sum (Aliquot Sum)
- 9104
- 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
- 3840
- Möbius Function
- 0
- Radical
- 2134
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 65
- 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
- Essentially shifts 1 place right under inverse binomial transform.at n=8A032346
- Inverse binomial transform of A032346.at n=9A032347
- Numbers k such that 243*2^k+1 is prime.at n=22A032498
- a(n) = prime(n)*prime(n+1) - prime(n+1).at n=23A037167
- Numbers k such that k-th and (k+1)-st term of A038593 differ by 6.at n=40A038637
- Same rule as Aitken triangle (A011971) except a(0,0)=1, a(1,0)=0.at n=44A046934
- Same rule as Aitken triangle (A011971) except a(0,0)=1, a(1,0)=0.at n=45A046934
- Sequence formed from rows of triangle A046934.at n=35A046935
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 89 ).at n=26A063362
- a(n) = (prime(n)+1)*n.at n=44A083726
- Expansion of g.f. (1 + x + 2*x^2)/((1 - x)^3*(1 - x^3)).at n=32A092498
- Triangle, read by rows, of the coefficients of [x^k] in G100228(x)^n such that the row sums are 4^n-1 for n>0, where G100228(x) is the g.f. of A100228.at n=41A100229
- Triangle read by rows: T(n,k) is number of Dyck paths of semilength n having k ascents of length 3 (0<=k<=floor(n/3)). Also number of ordered trees with n edges that have k vertices of outdegree 3.at n=28A114506
- Numerators of the continued fraction convergents of the decimal concatenation of the twin prime pairs.at n=10A128848
- Triangle of coefficients of polynomials v(n,x) jointly generated with A210557; see the Formula section.at n=51A210558
- Number of (w,x,y,z) with all terms in {1,...,n} and w^3>=x^3+y^3+z^3.at n=15A212100
- Conjectured number of digits in highest power of n with no four consecutive identical digits.at n=16A216142
- Number of (n+3)X(n+3) 0..1 matrices with each 4X4 subblock idempotent.at n=9A224560
- Lexicographically earliest sequence whose second differences are the digits of Pi.at n=60A227844
- Indices n>0 such that A083417(n) is zero.at n=42A253099