7596
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 27
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 18
- Divisor Sum
- 19292
- Proper Divisor Sum (Aliquot Sum)
- 11696
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2520
- Möbius Function
- 0
- Radical
- 1266
- Omega Function (Ω)
- 5
- 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
- no
- 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 partitional matroids on n elements.at n=7A005387
- a(n+1) = a(n)-th composite number, with a(0) = 1.at n=31A006508
- Numbers k such that k | 8^k + 8.at n=20A015897
- Cycle class sequence c(2n) (the number of true cycles of length 2n in which a certain node is included) for zeolite ATV = AlPO4-25 [Al12P12O48] starting with a T1 atom.at n=5A018991
- 14-gonal (or tetradecagonal) numbers: a(n) = n*(6*n-5).at n=36A051866
- Numbers n > 13 such that x^n + x^13 + x^12 + 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=33A057489
- Total number of interior nodes in all essentially series series-parallel networks with n labeled edges, multiple edges allowed.at n=6A058478
- Numbers k such that phi(sigma(k)+k) = sigma(k-phi(k)), where phi is A000010 and sigma is A000203.at n=26A063710
- Number of subsets of {1,2,3,...,n} that sum to 0 mod 64.at n=19A068045
- Number of incongruent ways to tile a 4 X n room with 1 X 2 Tatami mats. At most 3 Tatami mats may meet at a point.at n=53A068929
- a(n) = n^5 - n^3 + n^2.at n=6A133071
- a(n) = A152800(n+1,2n) for n>=0.at n=7A152801
- E.g.f. satisfies: A(x) = exp( x*exp( x*A'(x)/A(x) ) ), where A'(x)/A(x) = d/dx log(A(x)).at n=5A161967
- Number of 0..2 arrays of length n+5 with sum no more than 6 in any length 6 subsequence (=50% duty cycle).at n=3A212227
- T(n,k)=Number of 0..2 arrays of length n+2*k-1 with sum no more than 2*k in any length 2k subsequence (=50% duty cycle).at n=18A212232
- Number of 0..2 arrays of length 3+2*n with sum no more than 2*n in any length 2n subsequence (=50% duty cycle).at n=2A212236
- Numbers k such that p = k^2 + 1 is prime, as are p-6 and p+6.at n=37A227178
- A recurrence relation conditioned on the primality of the preceding terms.at n=28A236768
- Angles n expressed in degrees such that 2*cos(n) = phi where phi is the golden ratio (A001622).at n=42A237128
- Sum of the largest two parts in the partitions of 4n into 4 parts with smallest part equal to 1.at n=11A239186