7312
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 10
- Divisor Sum
- 14198
- Proper Divisor Sum (Aliquot Sum)
- 6886
- 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
- 3648
- Möbius Function
- 0
- Radical
- 914
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 2
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
- 132
- 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
- Numbers k such that 145*2^k+1 is prime.at n=14A032422
- Every run of digits of n in base 15 has length 2.at n=34A033013
- Multiplicity of highest weight (or singular) vectors associated with character chi_120 of Monster module.at n=37A034508
- Positive integers with more base-15 runs of even length than odd.at n=36A044841
- Coefficients in the series (1 + x + 4x^4 + 6x^6 + 8x^8 + 9x^9 + 10x^10 + 12x^12 + 14x^14 + ... )/(1 - 2x^2 - 3x^3 - 5x^5 - 7x^7 - 11x^11 - 13x^13 - ... ).at n=13A058358
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 87 ).at n=35A063360
- Number of fixed polyedges with n edges (number of ways of embedding connected undirected graphs with n edges into the plane square lattice, inequivalent up to translation).at n=6A096267
- Largest composite number obtained by concatenation of parts of a distinct partition of n, or 0 if no such number exist.at n=12A110454
- Numbers whose square is the concatenation of two numbers k and k-2.at n=1A115442
- Numbers k such that k and 8*k, taken together, are zeroless pandigital.at n=20A115932
- Retrograde trajectory of 13 under map n -> A132948(n).at n=30A132947
- Number of strings of numbers x(i=1..4) in 0..n with sum i*x(i) equal to n*4.at n=31A184704
- Numbers k such that A057775(k) is the factor of a Fermat number 2^(2^m) + 1 for some m.at n=38A201364
- Number of k-element subsets S of {1,...,n} such that mean(S) is not equal to median(S).at n=12A212140
- A triangle formed like Pascal's triangle, but with 4^n on the borders instead of 1.at n=38A227074
- A triangle formed like Pascal's triangle, but with 4^n on the borders instead of 1.at n=42A227074
- Number of partitions p of n that are disjoint from their conjugate.at n=52A240674
- The total number of rectangles appearing in the Thue-Morse sequence logical matrices after n stages.at n=8A241684
- The Hwang-Deutsch function f_3(n).at n=32A260996
- Coordination sequence for (2,6,infinity) tiling of hyperbolic plane.at n=18A265070