7004
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 13104
- Proper Divisor Sum (Aliquot Sum)
- 6100
- 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
- 3264
- Möbius Function
- 0
- Radical
- 3502
- Omega Function (Ω)
- 4
- 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
- 31
- 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
- Dodecahedral surface numbers: a(0)=0, a(1)=1, a(2)=20, thereafter 2*((3*n-7)^2 + 21).at n=22A007589
- Coordination sequence T2 for Coesite.at n=44A008268
- Four times second pentagonal numbers: a(n) = 2*n*(3*n+1).at n=34A033580
- T(n,n), array T as in A047089.at n=8A047091
- (Terms in A028273)/2.at n=36A051298
- a(n) = T(n,n-4), array T as in A055807.at n=30A055809
- Numbers k such that k^2 divides 13^k - 1.at n=44A128393
- Least number k > 0 such that k^n does not divide the denominator of generalized harmonic number H(k,n) nor the denominator of alternating generalized harmonic number H'(k,n).at n=34A128670
- Numbers k such that k^3 divides 3^(k^2) - 1.at n=26A129211
- Main diagonal of array A[k,n] = n-th sum of 3 consecutive k-gonal numbers, k>2.at n=16A130423
- Numbers k such that k^3 divides 9^(k^2) - 1.at n=43A177909
- Partial sums of A050508.at n=23A178129
- G.f. satisfies: A(x) = Product_{n>=1} (1 + x^n) * (1 + x^(2n)*A(x)).at n=14A190822
- Triangle of coefficients of polynomials u(n,x) jointly generated with A209776; see the Formula section.at n=40A209775
- Numbers k such that 3^k + 2^k + 10 is prime.at n=15A219617
- Number of binary arrays indicating the locations of trailing edge maxima of a random length-n 0..2 array extended with zeros and convolved with 1,2,2,1.at n=22A222105
- Partial sums of the second power of arithmetic derivative function A003415.at n=27A231864
- Number of partitions of n into 8 parts such that every i-th smallest part (counted with multiplicity) is different from i.at n=18A244244
- Numbers n such that the smallest prime divisor of n^2+1 is 61.at n=37A248549
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 294", based on the 5-celled von Neumann neighborhood.at n=33A271134