8355
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 13392
- Proper Divisor Sum (Aliquot Sum)
- 5037
- 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
- 4448
- Möbius Function
- -1
- Radical
- 8355
- 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
- Sum of 10 nonzero 8th powers.at n=18A003388
- a(n) = a(n-2) + a(n-3), with a(0) = 0, a(1) = 1, a(2) = 2.at n=33A007307
- 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 29.at n=36A031527
- Numbers n such that n and the n-th prime have the same digits.at n=26A074350
- Triangle, read by rows, where the n-th row lists the coefficients of the polynomial of degree n that generates the n-th diagonal of this sequence.at n=47A091150
- Second column of triangle A091150, in which the n-th row lists the coefficients of the polynomial of degree n that generates the n-th diagonal.at n=7A091152
- Number of ordered triples (i,j,k) with |i| + |j| + |k| <= n and gcd(i,j,k) <= 1.at n=19A100450
- Expansion of (1-2x)/(1-x^2+x^3).at n=32A117363
- a(n) = 3*a(n-1) - 2*a(n-2) + a(n-3).at n=10A137531
- Smallest number k such that M(n)^2+k*M(n)+1 is prime with M(n)= Mersenne primes =A000668(n).at n=24A139427
- Expansion of Product_{k > 0} (1 + f(k)*x^k), where f(n) = A147952(n).at n=28A147953
- 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, 1), (-1, 0, 0), (-1, 1, 1), (0, 1, -1), (1, 0, 1)}.at n=8A149338
- Transform of the finite sequence (1, 0, -1) by the T_{0,0} transformation.at n=12A159347
- Binary order of n plus number of partitions of n-1.at n=32A163295
- Number of nondecreasing arrangements of 4 nonzero numbers in -(n+2)..(n+2) with sum zero.at n=30A188334
- Number of partitions of n plus number of divisors of n.at n=31A195364
- Triangle of coefficients of polynomials v(n,x) jointly generated with A210201; see the Formula section.at n=50A210202
- Number of nX3 0..2 arrays with every row having the same least squares slope fit to a straight line, and every column the same least squares slope fit to a straight line, with a single point array taken as having zero slope.at n=4A223019
- Number of nX5 0..2 arrays with every row having the same least squares slope fit to a straight line, and every column the same least squares slope fit to a straight line, with a single point array taken as having zero slope.at n=2A223021
- T(n,k)=Number of nXk 0..2 arrays with every row having the same least squares slope fit to a straight line, and every column the same least squares slope fit to a straight line, with a single point array taken as having zero slope.at n=23A223022