10204
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 7
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 17864
- Proper Divisor Sum (Aliquot Sum)
- 7660
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5100
- Möbius Function
- 0
- Radical
- 5102
- Omega Function (Ω)
- 3
- 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
- 86
- 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 symmetric filaments (strip polyominoes) with n square cells.at n=23A002014
- Number of restricted forests in Moebius ladder M_n.at n=3A020872
- Positive numbers k such that k and 2*k are anagrams in base 8 (written in base 8).at n=16A023073
- Positive numbers k such that k and 4*k are anagrams in base 8 (written in base 8).at n=5A023075
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 70 ones.at n=9A031838
- A Diaconis-Mosteller approximation to the Birthday problem function.at n=44A050255
- Numbers k such that 2^k + 3^(k-1) is prime.at n=44A082400
- Sum of first n 5-almost primes.at n=35A086047
- a(n) = smallest k such that the Reverse and Add! trajectory of A063048(n) joins the trajectory of k.at n=24A089493
- G.f.: Product((1+x^i)/(1-x^i),i=1..n-1)/(1-x^n), with n = 8.at n=23A091779
- Sum of smallest parts (counted with multiplicity) of all partitions of n into odd parts.at n=40A092313
- Number of 4k+3 primes (A002145) in range ]2^n,2^(n+1)].at n=17A095008
- a(n) = floor(n*(n^3-n-3)/(2*(n-1))).at n=25A117561
- Partial sum of irregular primes A000928.at n=31A132360
- Row sums of generalized Lucas-Pascal triangle: A164855.at n=3A164856
- Number of distinct values of the sum of a*b+a*c+b*c over 2 sets of three a,b,c 0..n integers.at n=42A225269
- Number of partitions of n with difference -1 between the number of odd parts and the number of even parts, both counted without multiplicity.at n=41A242691
- Numbers k such that k!3 - 3^2 is prime, where k!3 = k!!! is a triple factorial number (A007661).at n=34A243078
- Sum of numbers in the n-th antidiagonal of the reciprocity array of 2.at n=34A259580
- T(n,k)=Number of nXk binary arrays with some element plus some horizontally or antidiagonally adjacent neighbor totalling two exactly once.at n=46A268886