12850
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 23994
- Proper Divisor Sum (Aliquot Sum)
- 11144
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5120
- Möbius Function
- 0
- Radical
- 2570
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 125
- 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
- Positive numbers k such that k and 2*k are anagrams in base 9 (written in base 9).at n=22A023079
- Numbers whose set of base-16 digits is {2,3}.at n=24A032816
- Number of partitions of n into parts not of form 4k+2, 20k, 20k+9 or 20k-9. Also number of partitions in which no odd part is repeated, with at most 4 parts of size less than or equal to 2 and where differences between parts at distance 4 are greater than 1 when the smallest part is odd and greater than 2 when the smallest part is even.at n=50A036028
- T(n,n-3), array T as in A047140.at n=7A047145
- Expansion of (1-x)^(-1)/(1-x^2+2*x^3).at n=26A077884
- "Orderly" Friedman numbers (or "good" or "nice" Friedman numbers): Friedman numbers (A036057) where the construction digits are used in the proper order.at n=16A080035
- Triangle read by rows, formed from product of Aitken's (or Bell's) triangle (A011971) and Pascal's triangle (A007318).at n=22A095675
- Trajectory of 1001 under "3x+1" map.at n=17A100709
- Number of primes with n distinct decimal digits, none of which are 0.at n=6A140532
- Number of nondecreasing strings of numbers x(i=1..6) in -n..n with sum x(i)^3 equal to 0.at n=34A188280
- Define a pair of sequences c_n, d_n by c_0=0, d_0=1 and thereafter c_n = c_{n-1}+d_{n-1}, d_n = c_{n-1}+4*n+2; sequence here is c_n.at n=15A192751
- Ordered differences of central binomial coefficients.at n=31A205008
- Triangle of coefficients of polynomials u(n,x) jointly generated with A210879; see the Formula section.at n=62A210878
- Numbers k whose decimal expansion can be split into at least two parts whose binary equivalents can be concatenated (in the same order) to form the binary expansion of the original number k.at n=30A237041
- Number of partitions of n, where the difference between the number of odd parts and the number of even parts is 7.at n=45A240016
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 421", based on the 5-celled von Neumann neighborhood.at n=26A272051
- Total volume of all rectangular prisms with dimensions r X s X t where r, s and t are the smallest, middle and largest parts in each partition of n into 3 parts.at n=23A307684
- Least number k such that the determinant of the symmetric Hankel matrix formed by its decimal digits is equal to n negated.at n=46A308208
- Number of n element multisets of the 10th roots of unity with zero sum.at n=37A321416
- G.f. A(x) satisfies A(x) = 1 + x * A(x)^3 * (1 + A(x)^7).at n=4A379257