4725
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 9920
- Proper Divisor Sum (Aliquot Sum)
- 5195
- 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
- 2160
- Möbius Function
- 0
- Radical
- 105
- Omega Function (Ω)
- 6
- 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
- 59
- 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
- no
- Odd
- yes
Appears in sequences
- a(n) = A059366(n,n-2) = A059366(n,2) for n >= 2, where the triangle A059366 arises in the expansion of a trigonometric integral.at n=4A001194
- Triangle of coefficients of Bessel polynomials (exponents in decreasing order).at n=23A001497
- Triangle a(n,k) (n >= 0, 0 <= k <= n) of coefficients of Bessel polynomials y_n(x) (exponents in increasing order).at n=25A001498
- a(n) = (2n+2)!/(n!*2^(n+1)).at n=4A001879
- Odd abundant numbers (odd numbers m whose sum of divisors exceeds 2m).at n=6A005231
- a(n) = (25*n^4-120*n^3+209*n^2-108*n)/6.at n=7A006529
- Expansion of e.g.f.: cosh(log(x+1)-tan(x))=1+3/4!*x^4+90/6!*x^6-168/7!*x^7+4725/8!*x^8...at n=8A013243
- E.g.f.: cosh(log(x+1)-arctan(x))=1+3/4!*x^4-40/5!*x^5+250/6!*x^6-840/7!*x^7...at n=8A013255
- E.g.f.: cosh(log(x+1)-arctanh(x)) (even powers only).at n=4A013302
- Bisection of A001400.at n=41A014125
- a(n) = (2*n - 9)*n^2.at n=15A015243
- Expansion of e.g.f. theta_3^(3/2).at n=7A015665
- Expansion of g.f. 1/((1-9*x)*(1-12*x)).at n=3A016191
- Coordination sequence T1 for Zeolite Code OSI.at n=45A016430
- a(n) = n*(13*n - 1)/2.at n=27A022270
- Convolution of Lucas numbers and (1, p(1), p(2), ...).at n=12A023617
- a(n) = (2n-1)!!/lcm{1,3,5,...,2n-1}.at n=12A025549
- a(n) = (d(n)-r(n))/2, where d = A026057 and r is the periodic sequence with fundamental period (0,0,1,0).at n=31A026058
- Number of partitions of n into an odd number of parts, the least being 3; also, a(n+3) = number of partitions of n into an even number of parts, each >=3.at n=53A027189
- Triangle whose (n,k)-th entry is 15^(n-k)*binomial(n,k).at n=33A027467