4500
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 36
- Divisor Sum
- 14196
- Proper Divisor Sum (Aliquot Sum)
- 9696
- 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
- 1200
- Möbius Function
- 0
- Radical
- 30
- Omega Function (Ω)
- 7
- 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
- 46
- 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
- yes
- Achilles Number
- yes
- Perfect Power
- no
- Smooth Number
- yes
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- a(n) = A059366(n,n-3) = A059366(n,3) for n >= 3, where the triangle A059366 arises from the expansion of a trigonometric integral.at n=3A001756
- Expansion of an integral: central elements of rows of triangle in A059366.at n=6A001757
- Degrees of irreducible representations of McLaughlin group McL.at n=11A003909
- Number of 3-voter voting schemes with n linearly ranked choices.at n=17A007009
- Number of regions in regular n-gon with all diagonals drawn.at n=19A007678
- Some permutation of digits is a factorial number.at n=42A007926
- Some nontrivial permutation of digits is a factorial number.at n=36A007927
- Coordination sequence T1 for feldspar.at n=45A008254
- a(n) = floor(n/5)*floor((n+1)/5)*floor((n+2)/5)*floor((n+3)/5)*floor((n+4)/5).at n=27A008382
- Coordination sequence T4 for Zeolite Code ZON.at n=47A009922
- Numbers of form 5^i*6^j, with i, j >= 0.at n=17A025622
- Sequence satisfies T^2(a)=a, where T is defined below.at n=50A027585
- Expansion of 1/((1-4x)(1-5x)(1-7x)(1-8x)).at n=3A028115
- Character of extremal vertex operator algebra of rank 9.at n=4A028527
- Expansion of (theta_3(z)*theta_3(11z) + theta_2(z)*theta_2(11z))^3.at n=37A028611
- a(n) = 5*n^2.at n=30A033429
- Theta series of lattice A_2 tensor D_3 (dimension 6, det. 432, min. norm 4).at n=28A033701
- Decimal part of n-th root of a(n) starts with digit 4.at n=23A034081
- Number of partitions of n with equal number of parts congruent to each of 2 and 4 (mod 5).at n=38A035560
- Number of partitions of n into parts not of the form 19k, 19k+6 or 19k-6. Also number of partitions with at most 5 parts of size 1 and differences between parts at distance 8 are greater than 1.at n=30A035975