8155
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 11232
- Proper Divisor Sum (Aliquot Sum)
- 3077
- 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
- 5568
- Möbius Function
- -1
- Radical
- 8155
- 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
- 127
- 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
- Size of lexicographic code of length n, Hamming distance 8 and weight 8.at n=40A030069
- Number of partitions of n with equal number of parts congruent to each of 0, 3 and 4 (mod 5).at n=49A035577
- Truncated triangular pyramid numbers: a(n) = (n-7)*(n^2 + 10*n - 108)/6, n >= 8.at n=29A051941
- McKay-Thompson series of class 41A for Monster.at n=46A058670
- Number of partitions of n into Lucas parts (A000032).at n=54A067593
- Least nontrivial multiple of the n-th prime beginning with 8.at n=50A078292
- a(n) = 2^(n+2) - 3*n - 4.at n=10A095264
- Numbers n for which there are exactly five k such that n = k + (product of nonzero digits of k).at n=19A096926
- Numbers k such that (10^k)^2 + 5*(10^k) - 1 is prime.at n=13A108240
- n times n+4 gives the concatenation of two numbers m and m-8.at n=1A116235
- Number of sequences of n 2's and 3's with curling number 2, which have the form XY^2 with Y = 2, and which are not robust.at n=31A217930
- Expansion of phi(-x^6) / f(-x) in powers of x where phi(), f() are Ramanujan theta functions.at n=37A271661
- Number of integers in n-th generation of tree T(2/3) defined in Comments.at n=35A274145
- Sum of squares of numbers less than n that do not divide n.at n=29A276984
- Decimal representation of the x-axis, from the origin to the right edge, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 473", based on the 5-celled von Neumann neighborhood.at n=12A282450
- Number of nX3 0..1 arrays with every element unequal to 2, 3, 4, 6 or 7 king-move adjacent elements, with upper left element zero.at n=7A305170
- T(n,k)=Number of nXk 0..1 arrays with every element unequal to 2, 3, 4, 6 or 7 king-move adjacent elements, with upper left element zero.at n=47A305175
- T(n,k)=Number of nXk 0..1 arrays with every element unequal to 2, 3, 4, 6 or 7 king-move adjacent elements, with upper left element zero.at n=52A305175
- T(n,k)=Number of nXk 0..1 arrays with every element unequal to 2, 3, 4, 6, 7 or 8 king-move adjacent elements, with upper left element zero.at n=47A316763
- T(n,k)=Number of nXk 0..1 arrays with every element unequal to 2, 3, 4, 6, 7 or 8 king-move adjacent elements, with upper left element zero.at n=52A316763