6278
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 9768
- Proper Divisor Sum (Aliquot Sum)
- 3490
- 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
- 3024
- Möbius Function
- -1
- Radical
- 6278
- 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
- 36
- 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
- yes
- Odd
- no
Appears in sequences
- Expansion of 1/((1-x)(1-3x)(1-10x)(1-11x)).at n=3A021714
- 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 78.at n=13A031576
- Numbers n such that 227*2^n-1 is prime.at n=17A050865
- Stereoisomeric homologs with molecular formula C_{3+n} H_{6+2n}.at n=9A055936
- a(n) = Sum_{k=1..n} phi(k)^2.at n=34A057434
- Largest squarefree number dividing sum of cubes of divisors of n.at n=27A080238
- Frequency of the hexadecimal B in the first 10^n hexadecimal digits of Pi.at n=4A099344
- Cumulative sum of A000001(n)^A000001(n).at n=14A111101
- Number of j-sets in symmetric group S_n.at n=15A125548
- Ramanujan numbers (A000594) read mod 23^3.at n=12A126847
- Number of n X 2 1..4 arrays with all 1's connected, all 2's connected, all 3's connected, all 4's connected, 1 in the upper left corner, 2 in the upper right corner, 3 in the lower left corner, 4 in the lower right corner, and with no element having more than 2 neighbors with the same value.at n=39A164754
- Number of "ON" cells at n-th stage of three-dimensional version of the cellular automaton A183060 using cubes.at n=34A186410
- Number of (n+1) X 2 0..2 arrays with every 2 X 2 subblock having one or two distinct values, and new values 0..2 introduced in row major order.at n=4A209822
- Number of (n+1)X6 0..2 arrays with every 2X2 subblock having one or two distinct values, and new values 0..2 introduced in row major order.at n=0A209826
- T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock having one or two distinct values, and new values 0..2 introduced in row major order.at n=10A209829
- T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock having one or two distinct values, and new values 0..2 introduced in row major order.at n=14A209829
- Number of (w,x,y) with all terms in {0,...,n} and w <= x + y and x < y.at n=24A212981
- G.f.: exp( Sum_{n>=1} x^n / (n*(1-x)^n * (1-x^n)) ).at n=12A227682
- Convolution of A048272 and A022567.at n=22A274355
- Numbers n such that phi(n) = Sum_{j=1..k} d(n^j) for some k, where phi(n) is the Euler totient function of n and d(n) is the number of divisors of n.at n=23A283757