3444
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
- 3
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 9408
- Proper Divisor Sum (Aliquot Sum)
- 5964
- 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
- 960
- Möbius Function
- 0
- Radical
- 1722
- 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
- 105
- 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
- Generalized divisor function. Number of partitions of n with exactly three part sizes.at n=36A002134
- a(n) = round(n*phi^10), where phi is the golden ratio, A001622.at n=28A004945
- a(n) = ceiling(n*phi^10), where phi is the golden ratio, A001622.at n=28A004965
- Number of self-avoiding walks on hexagonal lattice, with additional constraints.at n=4A007200
- Stella octangula numbers: a(n) = n*(2*n^2 - 1).at n=12A007588
- Theta series of {D_7}* lattice.at n=32A008423
- Theta series of D_7 lattice.at n=4A008429
- Theta series of {D_7}^{+} packing.at n=32A008435
- Number of ways of writing n as a sum of 7 squares.at n=8A008451
- a(n) = floor( n*(n-1)*(n-2)/20 ).at n=42A011902
- Expansion of e.g.f. arcsinh(sec(x) * log(x+1)).at n=8A012776
- a(n) = Sum_{i=0..n-1} a(i)*a(n-i), with a(0) = 1 and a(1) = 4.at n=7A014433
- Powers of fourth root of 2 rounded down.at n=47A018048
- Powers of fourth root of 2 rounded to nearest integer.at n=47A018049
- Conjectured formula for irreducible 5-fold Euler sums of weight 2n+13.at n=29A019450
- Number of 7-ary search trees on n keys.at n=14A019501
- Numbers whose base-3 representation is the juxtaposition of two identical strings.at n=41A020331
- Numbers whose base-9 representation is the juxtaposition of two identical strings.at n=41A020337
- Every prefix prime in base 9 (written in base 9).at n=34A024769
- Numbers with digits 3 and 4 only.at n=21A032834