8262
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 19656
- Proper Divisor Sum (Aliquot Sum)
- 11394
- 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
- 2592
- Möbius Function
- 0
- Radical
- 102
- Omega Function (Ω)
- 7
- 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
- 127
- 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
- Numbers that are the sum of 3 positive 5th powers.at n=39A003348
- Self-convolution of array T given by A026009.at n=9A027287
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 90.at n=11A031588
- Positive numbers having the same set of digits in base 6 and base 9.at n=42A037436
- a(n) = Sum_{h=0..n, k=0..n} T(h,k), array T counting knights' moves as in A049604.at n=27A047881
- Number of points in N^8 of norm <= n.at n=4A055407
- Number of points in N^n of norm <= 4.at n=8A055419
- Look at all numbers formed by multiplying the parts in a partition of n; a(n) = maximal such number which is divisible by n.at n=33A069188
- Numbers k that divide A005554(k) (the sum of consecutive Motzkin numbers).at n=32A081741
- Pseudo-random numbers: Davenport's generator for 32-bit integers.at n=12A084277
- Numbers k such that the sum of primes dividing k (with repetition) / smallest prime dividing k = largest prime dividing k.at n=45A085702
- Partial sums of n 3-spaced triangular numbers beginning with t(3), e.g., a(2) = t(3)+t(6) = 6+21 = 27.at n=16A085788
- Generalized Mancala solitaire (A002491); to get n-th term, start with n and successively round up to next 11 multiples of n-1, n-2, ..., 1, for n>=1.at n=39A113748
- G.f. satisfies: A(x) = G(x) * A(x^4*G(x)^9), where G(x) is the g.f. of A001764: G(x) = 1 + x*G(x)^3.at n=7A120921
- Sum of the semi-abscissae of the first returns to the axis over all skew Dyck paths of semilength n.at n=6A129160
- Row sums of triangle A134464.at n=33A134465
- Numbers k such that k and k^2 use only the digits 0, 2, 4, 6 and 8.at n=25A136904
- a(n) = sum(d divides n, 2^(n/d-1) - 1 ), omitting d=1 and d=n.at n=27A137323
- Numbers m such that all three values m^2 + 13^k, k = 1, 2, 3, are prime.at n=33A178639
- Number of (w,x,y,z) with all terms in {0,...,n} and |w-x|+|x-y+|y-z|=n.at n=20A212904