7378
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
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 13824
- Proper Divisor Sum (Aliquot Sum)
- 6446
- 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
- 2880
- Möbius Function
- 1
- Radical
- 7378
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
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
- 101
- 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 n-level ladder expressions with A001622.at n=12A003006
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite MAZ = Mazzite (Na2,K2,Ca,Mg)5[Al10Si26O72].28H2O starting from a T2 atom.at n=12A019143
- Numbers whose sum of divisors is a cube.at n=38A020477
- a(n) = Sum_{k=0..2n} (k+1) * A027113(n, k).at n=6A027137
- (Terms in A029665)/2.at n=47A051425
- (Terms in A029643)/2.at n=47A051469
- Numbers k>11 such that x^k + x^11 + x^10 + x^9 + x^8 + x^7 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1 is irreducible over GF(2).at n=35A057488
- McKay-Thompson series of class 34a for the Monster group.at n=36A058639
- a(n) is the number of solutions to x+y+z = 0 mod 3, where 1 <= x < y < z <= n.at n=52A061866
- Least k for the Theodorus spiral to complete n revolutions.at n=26A072895
- Squarefree numbers having exactly three prime gaps.at n=41A073489
- Main diagonal of A082228.at n=43A082231
- Number of returns to the x-axis in all paths from (0,0) to (3n,0) that stay in the first quadrant (but may touch the horizontal axis), consisting of steps u=(2,1), U=(1,2), or d=(1,-1).at n=4A108436
- Difference between prime(10^n) and prime(10^(n-1)).at n=2A110896
- Generalized Mancala solitaire (A002491); to get n-th term, start with n and successively round up to next 9 multiples of n-1, n-2, ..., 1, for n>=1.at n=41A113746
- a(1) = 335; a(n) is the smallest k > a(n-1) such that k*A002110(n)^30 - 1 is prime.at n=32A119760
- Numbers k such that k and k^2 use only the digits 3, 4, 5, 7 and 8.at n=3A137124
- a(n) = largest value of the function rad(m*n*(n - m)) n=2,3,4,..., 0 < m < n where the function rad(k) (also called radical(k)) is the product of distinct prime divisors of k.at n=29A147299
- Multiples of 17 whose reversal + 1 is also a multiple of 17.at n=25A166391
- a(n) = (3*n+7)*(3*n+2)/2.at n=39A179436