7278
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 14568
- Proper Divisor Sum (Aliquot Sum)
- 7290
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 2424
- Möbius Function
- -1
- Radical
- 7278
- 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
- 163
- 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
- Number of skeins with vertical symmetry.at n=8A007162
- Fibonacci sequence beginning 2, 30.at n=13A022377
- 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 56.at n=27A031554
- Number of partitions satisfying cn(0,5) + cn(1,5) + cn(4,5) < cn(2,5) + cn(3,5).at n=37A039880
- Starting from generation 8 add previous and next term yielding generation 9.at n=9A048455
- Zero-based position of the least significant (rightmost) zero bit in the bit-masks A068222 (A068224).at n=50A068058
- Number of 7/3+-power-free words over the alphabet {0,1}.at n=32A082380
- Number of 6 X 6 binary matrices with n ones, distinct up to cyclic shifts of rows and/or columns; reflection through any vertical or horizontal axis; and reflection through the main diagonal. Also number of quasi-n-ominoes on a torus divided into a 6 X 6 grid.at n=6A093469
- Duplicate of A093469.at n=6A093816
- Iccanobirt prime indices (5 of 15): Indices of prime numbers in A102115.at n=10A102135
- a(n) = (1/3)*n^3 - n^2 - (1/3)*n - 1.at n=29A109620
- a(n) is the ratio of the sum of the squares of the bends of the spheres that are added in the n-th generation of Apollonian packing of three-dimensional spheres, using "strategy (a)" to count them (see the reference), to the sum of the squares of the bends of the initial five mutually tangent spheres.at n=4A154642
- Number of non-monotonic functions from [k] to [n-k].at n=23A189711
- Let p = A002145(n) be the n-th prime of the form 4k+3, then a(n) is the smallest number such that p is the smallest prime of the form 4k+3 for which 4*a(n)+2-p is prime.at n=30A217696
- Number of nX3 arrays of the minimum value of corresponding elements and their horizontal, vertical or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..2 nX3 array.at n=8A219681
- a(n) = Sum_{i=0..n} digsum_4(i)^4, where digsum_4(i) = A053737(i).at n=27A231667
- Number of partitions of n where the difference between consecutive parts is at most 9.at n=32A238869
- Number of ternary strings of length n with maximal run length two containing 112.at n=7A269914
- Least number k such that A001844(k) (sums of two consecutive squares) is the sum of two nonzero squares in exactly n ways.at n=6A273787
- Row sums of A286798.at n=5A286799