5376
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 36
- Divisor Sum
- 16352
- Proper Divisor Sum (Aliquot Sum)
- 10976
- 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
- 1536
- Möbius Function
- 0
- Radical
- 42
- Omega Function (Ω)
- 10
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 15
- 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
- a(n) = binomial(n,3)*2^(n-3).at n=6A001789
- a(n) = a(n-1) + a(n-9) for n >= 9; a(n) = 1 for n=0..7; a(8) = 2.at n=48A005711
- a(n) = 4^n*(3*n)!/((2*n)!*n!).at n=3A006588
- Smallest k such that sigma(x) = k has exactly n solutions.at n=18A007368
- Coordination sequence T4 for Zeolite Code DDR.at n=46A008074
- Triangle of tangent numbers.at n=22A008308
- Theta series of {D_7}* lattice.at n=31A008423
- Numbers k such that k^2 and k have same last 3 digits.at n=22A008853
- Triangle read by rows, the inverse Bell transform of n!*binomial(4,n) (without column 0).at n=33A011801
- Number of Barlow packings with group P3(bar)m1(S) that repeat after 2n layers.at n=15A011951
- exp(sec(x)*arctanh(x))=1+x+1/2!*x^2+6/3!*x^3+21/4!*x^4+120/5!*x^5...at n=7A012840
- sinh(sec(x)*arctanh(x))=x+6/3!*x^3+120/5!*x^5+5376/7!*x^7...at n=3A012846
- Triangle of coefficients in expansion of (1+2*x)^n.at n=51A013609
- Triangle of coefficients in expansion of (1+4x)^n.at n=48A013611
- Theta series of lattice Kappa_8.at n=9A015235
- a(n) = (2*n - 11)*n^2.at n=16A015245
- Numbers k such that k | (phi(k) * sigma(k)) but (phi(k) + sigma(k))/k does not increase.at n=41A015708
- Expansion of 1/(1-x^5-x^6-x^7-x^8-x^9).at n=44A017840
- Expansion of 1/(1 - x^9 - x^10 - ...).at n=58A017903
- Conjectured formula for irreducible 5-fold Euler sums of weight 2n+13.at n=33A019450