5633
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 5808
- Proper Divisor Sum (Aliquot Sum)
- 175
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5460
- Möbius Function
- 1
- Radical
- 5633
- Omega Function (Ω)
- 2
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 59
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- Sum of 12 positive 9th powers.at n=11A004801
- Reve's puzzle: number of moves needed to solve the Towers of Hanoi puzzle with 4 pegs and n disks, according to the Frame-Stewart algorithm.at n=48A007664
- Coordination sequence T1 for Coesite.at n=39A008267
- Number of 5-tuples of different integers from [ 2,n ] with no common factors among triples.at n=19A015649
- a(n) = a(n-1) + a(n-2) + 1, with a(0) = 1 and a(1) = 7.at n=15A022321
- Numbers k such that 221*2^k+1 is prime.at n=26A032487
- Multiplicity of highest weight (or singular) vectors associated with character chi_65 of Monster module.at n=36A034453
- Rhombic matchstick numbers: a(n) = n*(3*n+2).at n=43A045944
- Number of partitions of n with equal nonzero number of parts congruent to each of 1, 2 and 3 (mod 4).at n=52A046781
- a(n) = 512*n + 1.at n=11A076338
- a(n) = 11*2^n + 1.at n=9A083683
- Semiprimes that are the sum of the first n semiprimes for some n.at n=19A092190
- Values of k such that floor(k*tanh(Pi)) = floor((k+1) tanh(Pi)).at n=20A096613
- Indices of primes in sequence defined by A(0) = 43, A(n) = 10*A(n-1) - 7 for n > 0.at n=13A101720
- a(1) = 1, a(n) = sum of n successive primes beginning with n if n is prime otherwise a(n) = sum of n successive composite numbers beginning with n.at n=40A110343
- a(n) = n-th element of n-th row of triangle shown below.at n=13A115025
- a(n) = 2*a(n-1) - 1 for n>1, a(1)=23.at n=8A122041
- A007318 * A131055.at n=10A131056
- a(n) = 128*n + 1.at n=43A157951
- a(n) = 256*n + 1.at n=21A158231