10845
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 18876
- Proper Divisor Sum (Aliquot Sum)
- 8031
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5760
- Möbius Function
- 0
- Radical
- 3615
- Omega Function (Ω)
- 4
- 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
- 117
- Smith Number
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- Number of 1's in n-th term of A007651.at n=35A022466
- Convolution of (1, p(1), p(2), ...) and composite numbers.at n=22A023627
- Numbers whose concatenation of prime factors (with multiplicity) is a square.at n=30A038693
- Numbers k that divide 2^(k+3) - 1.at n=40A069927
- Number of n-node triangulations of the nonorientable surface N_4 in which every node has degree >= 5.at n=2A129055
- Expansion of 1/(x^k*(1-x-2*x^(k+1))) for k=5.at n=26A143448
- Composites that are the sum of two, three, four and five consecutive composite numbers.at n=15A151745
- Numerator of Euler(n, 5/14).at n=4A156370
- Numbers n such that n^3 - 4 and n^3 + 4 are prime.at n=42A161589
- Expansion of e.g.f. exp(x) / (5 - 4*exp(x)).at n=4A201365
- Sum of the largest parts in the partitions of 3n into 3 parts.at n=19A236370
- Number of ways 1/n can be expressed as the sum of four distinct unit fractions: 1/n = 1/w + 1/x + 1/y + 1/z satisfying 0 < w < x < y < z.at n=15A241883
- Sum of digits of (2^n)!.at n=10A244060
- Numbers k such that k![10]-2 is prime, where k![10] is the ten-fold multifactorial.at n=57A283559
- Numbers k such that there are precisely 8 groups of orders k and k + 1.at n=0A295993
- Array of sequences read by descending antidiagonals, A(n) the Jacobi square of the sequence n, n+1, n+2, ....at n=48A321960
- Numbers m such that m^2+1 is semiprime with (m-1)^2+1 and (m+1)^2+1 primes.at n=25A321985
- Number of ordered subsequences of {1,...,n} containing at least three elements and such that the first differences contain only odd numbers.at n=17A344004
- a(n) = Sum_{(n - k) does not divide n, 0 <= k < n} k^2.at n=35A367327
- Square array A(n, k) = n! * [t^n] (exp(t)/(1+k-k*exp(t))) for n >= 0 and k >= 0, read by antidiagonals upwards.at n=40A369435