8395
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 10656
- Proper Divisor Sum (Aliquot Sum)
- 2261
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6336
- Möbius Function
- -1
- Radical
- 8395
- Omega Function (Ω)
- 3
- 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
- 65
- 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
- no
- Odd
- yes
Appears in sequences
- Sets of 4 consecutive numbers with equal number of divisors.at n=27A039665
- Numbers k such that 231*2^k-1 is prime.at n=43A050867
- McKay-Thompson series of class 39B for Monster.at n=43A058660
- Group the natural numbers such that the n-th group sum is divisible by prime(n): (1, 2, 3), (4, 5), (6, 7, 8, 9), (10, 11), (12, 13, 14, 15, 16, 17, 18, 19, 20, 21), ... Sequence contains the sum of the terms in the n-th group.at n=20A086491
- Numbers of perifusenes with one internal vertex (see Cyvin et al. for precise definition).at n=7A122740
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 0, 1), (-1, 1, -1), (1, 0, 0), (1, 1, 1)}.at n=7A150699
- Partial sums of ceiling(n^2/4).at n=46A175287
- Number of nondecreasing arrangements of 9 numbers in 0..n with the last equal to n and each after the second equal to the sum of one or two of the preceding four.at n=43A189332
- 20k^2-20k-5 interleaved with 20k^2+5 for k=>0.at n=42A216876
- Number of partitions of n such that (maximal multiplicity of parts) > (multiplicity of the least part).at n=38A240304
- Squarefree numbers that are k*A005117(k) for some k.at n=35A257832
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 177", based on the 5-celled von Neumann neighborhood.at n=22A270620
- Numbers k such that A003132(k^2) = A003132(k), where A003132(n) is the sum of the squares of the digits of n.at n=43A309883
- a(n) is the Wiener index of a broom on 2n vertices of which n+2 are pendant.at n=20A349416
- Number of 1342-avoiding odd Grassmannian permutations of size n.at n=47A361271