8260
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
- 24
- Divisor Sum
- 20160
- Proper Divisor Sum (Aliquot Sum)
- 11900
- 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
- 2784
- Möbius Function
- 0
- Radical
- 4130
- Omega Function (Ω)
- 5
- 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
- no
- Harshad Number
- no
- 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
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite NES = NU-87 H4[Al4Si64O136].nH2O starting with a T6 atom.at n=12A019207
- Numbers that, when expressed in base 7 and then interpreted in base 10, yield a multiple of the original number.at n=26A032549
- Denominators of continued fraction convergents to sqrt(444).at n=3A041845
- Internal digits of n^2 include digits of n as subsequence.at n=31A046834
- Number of nonempty subsets of {1,2,...,n} in which exactly 2/5 of the elements are <= n/2.at n=16A047166
- Number of nonempty subsets of {1,2,...,n} in which exactly 2/5 of the elements are <= (n-1)/2.at n=16A047177
- Numbers which, when expressed as a sum of distinct primes with maximum product, use a non-maximal number of primes.at n=34A053020
- Numbers k that, when expressed in base 7 and then interpreted in base 10, give a multiple of k.at n=27A062944
- Numbers k such that cototient(k) is a square and sets a new record for squares.at n=23A063753
- Numbers k such that phi(k) divides sigma(k+1) - sigma(k).at n=33A072611
- Non-balanced numbers in A015765.at n=36A074868
- Triangle T(n,k) read by rows, given by [0, 1, 0, 1, 0, 1, 0, 1, 0, 1, ...] DELTA [1, 0, 2, 0, 3, 0, 4, 0, 5, 0, 6, 0, 7, ...] where DELTA is the operator defined in A084938.at n=49A086329
- Triangle read by rows of the numbers T(n,k) (n > 1, 0 < k < n) of set partitions of n of length k which do not have a proper subset of parts with a union equal to a subset {1,2,...,j} with j < n.at n=41A087903
- Numbers k such that numerator of Bernoulli(2*k) is divisible by 37 and 59, the first two irregular primes.at n=33A092231
- Riordan array (1/sqrt(1-6x+5x^2),x/(1-6x+5x^2)).at n=40A111965
- Numbers k such that binomial(6k, k) - 1 is prime.at n=15A125244
- Numbers k such that k and k^2 use only the digits 0, 2, 6, 7 and 8.at n=6A136922
- a(n) = 250*n + 10.at n=32A154379
- Partial sums of A024785.at n=36A173060
- a(n) is the optimal wire-length for an n X n grid.at n=20A195647