5120
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 8
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 22
- Divisor Sum
- 12282
- Proper Divisor Sum (Aliquot Sum)
- 7162
- 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
- 2048
- Möbius Function
- 0
- Radical
- 10
- Omega Function (Ω)
- 11
- Little Omega Function (ω)
- 2
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
- 15
- 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
- yes
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- Expansion of Product_{m >= 1} (1 + x^m); number of partitions of n into distinct parts; number of partitions of n into odd parts.at n=53A000009
- Numbers that are the sum of 2 squares but not sum of 3 nonzero squares.at n=46A000549
- a(n) = n*2^(n-1).at n=10A001787
- Sum of 10 positive 9th powers.at n=10A003399
- Numbers of the form 2^i*5^j with i, j >= 0.at n=42A003592
- Expansion of (1+x)/(1-4*x).at n=6A003947
- Theta series of {D_10}^{+} lattice.at n=9A004532
- Numbers that are the sum of 5 positive 10th powers.at n=5A004805
- Numbers that are the sum of at most 5 nonzero 10th powers.at n=20A004900
- Numbers that are the sum of at most 6 nonzero 10th powers.at n=25A004901
- Numbers that are the sum of at most 7 nonzero 10th powers.at n=30A004902
- Numbers that are the sum of at most 8 nonzero 10th powers.at n=35A004903
- Numbers that are the sum of at most 10 nonzero 10th powers.at n=45A004905
- Length of longest trail (i.e., path with all distinct edges) on the edges of an n-cube.at n=10A005985
- Coordination sequence T2 for Zeolite Code BRE.at n=47A008059
- a(n) = Product_{j=0..5} floor((n+j)/6).at n=25A008881
- Expansion of (1 - 2*x -x^4)/(1 - 2*x)^2 in powers of x.at n=14A008936
- a(n) = floor( n*(n-1)*(n-2)/19 ).at n=47A011901
- Triangle of coefficients in expansion of (1+2*x)^n.at n=64A013609
- Triangle of coefficients in expansion of (1+8x)^n.at n=18A013615