3520
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 28
- Divisor Sum
- 9144
- Proper Divisor Sum (Aliquot Sum)
- 5624
- 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
- 1280
- Möbius Function
- 0
- Radical
- 110
- Omega Function (Ω)
- 8
- 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
- 118
- 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
- Number of (2n+1)-step self-avoiding walks on diamond lattice ending at point with x = 3.at n=3A001398
- Glaisher's function V(n).at n=15A002611
- a(0)=a(1)=1; thereafter a(n+1) = (1/n)*Sum_{k=0..n} a(k)^2 (a(n) is not always integral!).at n=8A003504
- Degrees of irreducible representations of Mathieu group M_24.at n=21A003859
- Degrees of irreducible representations of alternating group A_12.at n=34A003867
- Degrees of irreducible representations of symmetric group S_12.at n=63A003876
- Degrees of irreducible representations of symmetric group S_12.at n=62A003876
- Degrees of irreducible representations of McLaughlin group McL.at n=10A003909
- Degrees of irreducible representations of McLaughlin group McL.at n=9A003909
- Degrees of irreducible representations of Conway group Co3.at n=9A003910
- Degrees of irreducible representations of Conway group Co3.at n=10A003910
- 4-dimensional analog of centered polygonal numbers.at n=9A006323
- Coordination sequence T1 for Zeolite Code BRE.at n=39A008058
- Degrees of irreducible representations of group U6(2).at n=17A008948
- Number of parts in all partitions of n into distinct parts.at n=36A015723
- Expansion of 1/((1-2x)(1-8x)(1-10x)).at n=3A016317
- a(n) = Sum_{i=1..floor((n+1)/4)} a(2*i-1) * a(n-2*i+1), with a(1)=a(3)=2 and a(2)=1.at n=11A024739
- Expansion of (theta_3(z)*theta_3(13z)+theta_2(z)*theta_2(13z))^4.at n=33A028620
- Expansion of (theta_3(z)*theta_3(3z)*theta_3(9z)+theta_2(z)*theta_2(3z)*theta_2(9z))^4.at n=33A028705
- Numbers k that divide the (right) concatenation of all numbers <= k written in base 25 (most significant digit on left).at n=40A029470