5172
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 12096
- Proper Divisor Sum (Aliquot Sum)
- 6924
- 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
- 1720
- Möbius Function
- 0
- Radical
- 2586
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 103
- Smith Number
- yes
- 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
- High temperature series for spin-1/2 Ising magnetic susceptibility on 2D square lattice.at n=8A002906
- Oscillates under partition transform.at n=52A007212
- Number of independent sets in rooted plane trees on n nodes.at n=6A007857
- Coordination sequence T1 for Zeolite Code DDR.at n=45A008071
- Coordination sequence T3 for Zeolite Code FER.at n=44A008108
- Erroneous version of A002906.at n=3A008547
- Number of prime palindromes with n digits.at n=8A016115
- Convolution of natural numbers with Beatty sequence for tau^2 A001950.at n=21A023542
- n written in fractional base 9/5.at n=47A024653
- Sequence satisfies T^2(a)=a, where T is defined below.at n=52A027595
- Number of partitions of n with equal number of parts congruent to each of 1, 2 and 3 (mod 5).at n=55A035578
- a(n) is the number of prime palindromes with 2n+1 digits.at n=4A040025
- a(n)=(s(n)+5)/10, where s(n)=n-th base 10 palindrome that starts with 5.at n=39A043084
- a(n) is the number of pairs (x,y) where x is plane partition of n+1 and y is a plane partition of n and x covers y.at n=11A090984
- Values of k(b) for A104536(5); k(b)=a(n).at n=0A107344
- The digits of pi(n)=A000720(n) are obtained by adding pairs of adjacent digits of n.at n=8A116070
- E.g.f.: -1 + exp(( 1 - sqrt(5 - 4*exp(x)) )/2).at n=5A118795
- Triangle, read by rows of 2n+1 terms, where T(n,k) = T(n,k-1) + T(n-1,k-1) for 2n>=k>0, T(n,2n-1) = T(n,2n-2) + T(n-1,n-1) and T(n,2n) = T(n,2n-1) + T(n-1,n-1) for n>0, with T(n,0) = T(n-1,n-1) for n>0 and T(0,0) = 1.at n=42A132289
- Main diagonal of triangle A132289: a(n) = A132289(n,n) for n>=0.at n=6A132290
- 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, 0, 1), (0, 1, 0), (1, 0, -1), (1, 1, 0)}.at n=7A150167