7020
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
- 48
- Divisor Sum
- 23520
- Proper Divisor Sum (Aliquot Sum)
- 16500
- 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
- 1728
- Möbius Function
- 0
- Radical
- 390
- Omega Function (Ω)
- 7
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 44
- 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 class numbers c_(n,1).at n=44A000233
- Number of n-step self-avoiding walks on f.c.c. lattice from (0,0,0) to (0,1,3).at n=3A005545
- Some permutation of digits is a factorial number.at n=48A007926
- Some nontrivial permutation of digits is a factorial number.at n=41A007927
- Numerator of n*(n-2)*(2*n-1)/(2*(n-1)).at n=18A022997
- Theta series of A*_9 lattice.at n=65A023921
- 9 times the triangular numbers A000217.at n=39A027468
- a(n) = (2*n-1)*(3*n-1)*(4*n-1).at n=7A033589
- Theta series of tensor cube of A_2 lattice (dimension 8, det 3^12).at n=24A033688
- Multiplicity of highest weight (or singular) vectors associated with character chi_168 of Monster module.at n=38A034556
- a(n) = n-th sept-factorial number divided by 6.at n=3A034833
- Fourier coefficients of (normalized Delta)^5.at n=2A035190
- McKay-Thompson series of class 42A for Monster.at n=46A058671
- Numbers k such that sigma(x) = k has exactly 10 solutions.at n=10A060666
- Numbers k such that phi(x) = k has exactly 9 solutions.at n=35A060672
- Integer part of log(n!)^(1 + log(log(1 + n))).at n=24A062475
- Nearest integer to log(n!)^(1 + log(log(1 + n))).at n=24A062476
- Numbers k such that sigma(k) = 2*usigma(k).at n=19A063880
- Sum of interior angles in an n-sided polygon in degrees.at n=38A066164
- Numbers k such that sigma(k+1) = 5*phi(k).at n=2A067263