3450
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 8928
- Proper Divisor Sum (Aliquot Sum)
- 5478
- 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
- 880
- Möbius Function
- 0
- Radical
- 690
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 4
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
- 43
- 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
- Mixed partitions of n.at n=27A002096
- Coordination sequence T4 for Zeolite Code FER.at n=36A008109
- Coordination sequence T4 for Zeolite Code GOO.at n=40A008114
- Coordination sequence for quartz.at n=33A008261
- Triangle of Mahonian numbers T(n,k): coefficients in expansion of Product_{i=0..n-1} (1 + x + ... + x^i), where k ranges from 0 to A000217(n-1). Also enumerates permutations by their major index.at n=75A008302
- Triangle of Mahonian numbers T(n,k): coefficients in expansion of Product_{i=0..n-1} (1 + x + ... + x^i), where k ranges from 0 to A000217(n-1). Also enumerates permutations by their major index.at n=79A008302
- Coordination sequence for sigma-CrFe, Position Xf.at n=15A009958
- a(n) = floor(n*(n-1)*(n-2)/4).at n=25A011886
- a(n) = n*(11*n+1)/2.at n=25A022269
- a(n) = n*(13*n + 1)/2.at n=23A022271
- a(n) = position of 3*n^2 in sequence A025051 (numbers of form j*k + k*i + i*j, without repetitions, where 1 <= i <= j <= k).at n=33A025056
- a(n) = dot_product(1,2,...,n)*(5,6,...,n,1,2,3,4).at n=18A026043
- Duplicate of A022269.at n=24A026817
- a(n) = -6 + 2^(n+1)*(3 - 2*n + n^2).at n=6A036800
- Number of partitions of n such that cn(0,5) = cn(1,5) <= cn(2,5) = cn(4,5) < cn(3,5).at n=63A036863
- Coordination sequence T2 for Zeolite Code ESV.at n=39A038410
- Numbers n such that string 4,5 occurs in the base 10 representation of n but not of n-1.at n=38A044377
- Numbers n such that string 5,0 occurs in the base 10 representation of n but not of n-1.at n=37A044382
- Numbers n such that string 5,0 occurs in the base 10 representation of n but not of n+1.at n=37A044763
- a(n) = Sum_{i=0..n} T(i,n-i), array T as in A049704.at n=41A049708