5192
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
- 16
- Divisor Sum
- 10800
- Proper Divisor Sum (Aliquot Sum)
- 5608
- 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
- 2320
- Möbius Function
- 0
- Radical
- 1298
- Omega Function (Ω)
- 5
- 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
- yes
- 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
- 147
- 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 partitions into non-integral powers.at n=17A000158
- If a, b in sequence, so is ab+8.at n=27A009331
- [ n(n-1)(n-2)(n-3)/11 ].at n=17A011921
- Even pentagonal numbers.at n=29A014633
- Character of extremal vertex operator algebra of rank 22.at n=3A028549
- Numbers having period-1 7-digitized sequences.at n=27A031201
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 18.at n=7A031696
- Pentagonal numbers with odd index: a(n) = (2*n+1)*(3*n+1).at n=29A033570
- Multiplicity of highest weight (or singular) vectors associated with character chi_22 of Monster module.at n=35A034410
- Number of possible queen moves on an n X n chessboard.at n=11A035005
- Composite numbers k such that digits in k and in juxtaposition of prime factors of k are the same (apart from multiplicity).at n=10A035141
- Number of partitions of n in which no parts are multiples of 5.at n=33A035959
- a(n)=(s(n)+5)/10, where s(n)=n-th base 10 palindrome that starts with 5.at n=41A043084
- a(n) = Sum_{i=0..floor(n/2)} T(2i,n-2i) where T is A049627.at n=46A049630
- Trajectory of 29 under the `29x+1' map.at n=11A057687
- Convolution of A000010 with itself.at n=40A065093
- Group successively larger prime numbers so that the sum of the n-th group is a multiple of n. Sequence gives the sum for each group.at n=21A074128
- Composites which use more than all their digits in their prime factorization.at n=41A074237
- Non-balanced numbers in A015765.at n=21A074868
- a(n) = floor(T(n+1)!*T(n-1)!/(T(n)!)^2), where T(n) = n(n+1)/2 = the n-th triangular number.at n=36A077539