10999
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 28
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 11664
- Proper Divisor Sum (Aliquot Sum)
- 665
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 10336
- Möbius Function
- 1
- Radical
- 10999
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 68
- 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
- a(n) = n*(19*n + 1)/2.at n=34A022277
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = (Lucas numbers), t = (1, p(1), p(2), ...).at n=19A024470
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = (Lucas numbers), t = (primes).at n=18A024478
- Duplicate of A024478.at n=18A025090
- Numbers having three 9's in base 10.at n=36A043527
- a(n) is that n-digit number m which minimizes m/(sum of digits of m); in case of a tie pick the smallest.at n=4A066007
- Number of palindromes of length <= n.at n=6A070199
- Triangle, read by rows, such that the binomial transform of the n-th row lists the m-dimensional partitions of n, for n>=1 and m>=0.at n=59A096806
- A Chebyshev transform of A090400 related to the knot 8_2.at n=12A099845
- Numerator of the continued fraction convergents of the decimal concatenation of the powers of 10.at n=5A128877
- Ulam's spiral (SSE spoke).at n=26A143839
- Totally multiplicative sequence with a(p) = a(p-1) + 9 for prime p.at n=22A166706
- a(n) = 11*10^n - 1.at n=3A198700
- Numbers k such that k^11 + 11*k + 11^k is prime.at n=14A220787
- Indices where the cumulative sum of sin(2k+1)^(2k+1) reaches a record high value.at n=2A387706