11310
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 6
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 30240
- Proper Divisor Sum (Aliquot Sum)
- 18930
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2688
- Möbius Function
- -1
- Radical
- 11310
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 5
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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 112
- 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
- yes
- Odd
- no
Appears in sequences
- Fibonacci sequence beginning 0, 30.at n=14A022364
- Square of lower triangular normalized 2nd kind Stirling matrix.at n=27A027495
- First diagonal of A027495.at n=6A027498
- Positions of the incrementally largest terms in the continued fraction for Laplace's limit constant.at n=8A033263
- Pentagonal numbers with odd index: a(n) = (2*n+1)*(3*n+1).at n=43A033570
- Products of exactly 5 distinct primes.at n=29A046387
- a(n) in base 12 is a repdigit.at n=39A048336
- Numbers that are divisible by exactly 5 different primes.at n=41A051270
- McKay-Thompson series of class 44c for Monster.at n=52A058683
- Position at which increasing values of the Improperly Reduced Fibonacci Sequence (A058981) occur.at n=20A058983
- Consider the sequence b(k) such that b(k) and sigma(b(k)) end with the same digit in base 10. Sequence gives values of b(k) such that b(k)/k = 10.at n=22A065255
- Squarefree kernel of (n*prime(n))*(n+prime(n)).at n=9A066197
- Numbers k such that sigma(k) divides sigma(sigma(k)).at n=26A066961
- Numbers divisible by the sum of factorials of their digits [A061602(n)] and also terminate in the sum of factorials of their digits.at n=10A071064
- a(n) = n*(n+1)*(n^2+1)/2.at n=12A071237
- Smallest multiple of n beginning with the n-th prime.at n=29A078208
- Shifts left and divides by 2 under the XOR BINOMIAL transform (A099902).at n=13A099901
- Pentagonal numbers for which the product of the digits is also a pentagonal number.at n=40A117710
- Pentagonal numbers divisible by 5.at n=35A117793
- Multiples of 13 containing a 13 in their decimal representation.at n=26A121033