7190
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 12960
- Proper Divisor Sum (Aliquot Sum)
- 5770
- 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
- 2872
- Möbius Function
- -1
- Radical
- 7190
- 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
- 70
- 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 partitions of n into at most 7 parts.at n=41A008636
- Expansion of 1/(1-x^6-x^7-x^8-x^9-x^10-x^11).at n=50A017851
- Number of partitions of n in which the greatest part is 7.at n=48A026813
- Decimal part of cube root of a(n) starts with 3: first term of runs.at n=17A034129
- Multiplicity of highest weight (or singular) vectors associated with character chi_83 of Monster module.at n=46A034471
- Total number of nodes in all rooted trees with n nodes.at n=9A055544
- Least k such that k*10^n-9, k*10^n-7, k*10^n-3 and k*10^n-1 are all prime.at n=5A064432
- Duplicate of A064432.at n=5A064972
- n*10^5-1, n*10^5-3, n*10^5-7 and n*10^5-9 are all prime.at n=0A064979
- Interprimes which are of the form s*prime, s=10.at n=19A075285
- Least k such that 10^n + k - 1 is the first of a pair of twin primes.at n=30A103129
- Number of bridged bicyclic skeletons with n carbon atoms (see Parks et al. for precise definition).at n=8A121332
- Composite numbers such that exactly ten distinct permutations of digits are prime.at n=14A163562
- Number of ways to arrange 3 nonattacking triangular rooks on an nXnXn triangular grid.at n=9A193981
- T(n,k) is the number of ways to arrange k nonattacking triangular rooks on an nXnXn triangular grid.at n=75A193986
- Numbers k such that 1 + k + k^3 + k^5 + k^7 + k^9 + ... + k^45 is prime.at n=30A244387
- Triangle read by rows, T(n,k) = k*Sum_{m=1..n/k} t(k)*t(n-k*m+1) with t = A000081, for n>=1 and 1<=k<=n.at n=54A275331
- Numbers k = A005574(m) such that k = (A005574(m-1)+A005574(m+1))/2.at n=41A277970
- a(n) is the largest integer that can be written with n digits in base 3/2.at n=18A304025
- The largest positive even integer that can be represented with n digits in base 3/2.at n=18A305497