13983
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 19200
- Proper Divisor Sum (Aliquot Sum)
- 5217
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 9048
- Möbius Function
- -1
- Radical
- 13983
- Omega Function (Ω)
- 3
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 94
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- a(n) = n^prime(n) - prime(n)^n.at n=3A007965
- Number of partitions of n into 8 unordered relatively prime parts.at n=43A023028
- a(n) = 4^n - n^4.at n=7A024040
- Nonnegative numbers of the form x^y - y^x, for x,y > 1.at n=19A045575
- Duplicate of A007965.at n=3A062500
- Triangle read by rows: T(n, k) = abs(n^k-k^n), 1<=k<=n.at n=24A082754
- Numbers of the form 4^p - p^4 for p prime.at n=3A097201
- a(n)=n^(n+3)-(n+3)^n.at n=4A153217
- n^(2*n-1)-(2*n-1)^n.at n=3A165156
- Monotonic ordering of nonnegative differences 2^i-7^j, for 40>=i>=0, j>=0.at n=39A192118
- Monotonic ordering of nonnegative differences 4^i-7^j, for 40>= i>=0, j>=0.at n=18A192165
- E.g.f. satisfies: A(x) = 1 + Sum{n>=1} x^n * A(n*x)^(1/n) / n!.at n=6A196561
- Table T(n,k) = k^n - n^k, n, k > 0, read by descending antidiagonals.at n=51A220417
- a(n) = A277715(n) / 3.at n=57A277716
- Decimal representation of the x-axis, from the origin to the right edge, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 630", based on the 5-celled von Neumann neighborhood.at n=13A283399
- Number of nX3 0..1 arrays with every element equal to 0, 1, 3, 4, 5 or 8 king-move adjacent elements, with upper left element zero.at n=10A298149
- Number of partitions of n such that 3*(greatest part) >= (number of parts).at n=34A347867
- Index where prime(n) appears as a term in A379442.at n=48A379558