5135
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 6720
- Proper Divisor Sum (Aliquot Sum)
- 1585
- 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
- 3744
- Möbius Function
- -1
- Radical
- 5135
- 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
- 147
- 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
- no
- Odd
- yes
Appears in sequences
- Tetranacci numbers: a(n) = a(n-1) + a(n-2) + a(n-3) + a(n-4), with initial conditions a(0..3) = (0, 0, 1, 0).at n=17A001631
- McKay-Thompson series of class 7A for Monster.at n=6A007264
- Coordination sequence T10 for Zeolite Code EUO.at n=44A008096
- McKay-Thompson series of class 7A for the Monster group with a(0) = 10.at n=6A030183
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 13.at n=44A031511
- Number of partitions of n with equal number of parts congruent to each of 0 and 1 (mod 5).at n=42A035552
- McKay-Thompson series of class 7A for the Monster group with a(0) = 3.at n=6A045489
- Numbers beginning and ending with their multiplicative digital root.at n=26A064704
- Numbers k such that 10*k-1, 10*k-3, 10*k-7 and 10*k-9 are all prime.at n=24A064975
- Numbers k such that (k!! + (k+1)!! + 1)/2 is prime.at n=16A076208
- Numbers n such that 3*2^(n-1) - 1 is prime.at n=29A091997
- Arithmetic derivative of n-th partition number.at n=37A096371
- Number of distinct products i*j*k*l for 1 <= i <= j <= k <= l <= n.at n=24A100437
- Numbers not of the form a^2 + b^3 + c^4 + d^5 for a,b,c,d >= 0.at n=17A111151
- Positions of 4's in A038800 with offset 1.at n=25A115095
- Multiples of 13 containing a 13 in their decimal representation.at n=16A121033
- Number of distinct means of nonempty subsets of {1,...,n}.at n=36A135342
- Number of additive cyclic codes over GF(4) of length n.at n=10A143695
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 1, -1), (-1, 1, 1), (1, 0, -1), (1, 0, 0)}.at n=9A148270
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 1, -1), (0, 0, 1), (1, 0, -1), (1, 1, 0)}.at n=7A150192