10035
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 17472
- Proper Divisor Sum (Aliquot Sum)
- 7437
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5328
- Möbius Function
- 0
- Radical
- 3345
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 42
- 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
- no
- Odd
- yes
Appears in sequences
- An upper bound on the biplanar crossing number of the complete graph on n nodes.at n=41A007333
- Fibonacci sequence beginning 1, 26.at n=14A022396
- Numbers k such that k and 3*k are anagrams.at n=3A023087
- Expansion of Sum_{n>=0} (q^n / Product_{k=1..n+4} (1 - q^k)).at n=29A035300
- An approximation to sigma_{5/2}(n): round( sum_{d|n} d^(5/2) ).at n=35A058273
- An approximation to sigma_{5/2}(n): ceiling( sum_{d|n} d^(5/2) ).at n=35A058274
- a(n) = A053061(n)/n.at n=34A061082
- Number of n X n binary arrays symmetric under 180 degree rotation with all 1's connected only in a 00100-00100-00100-11111 pattern in any orientation.at n=12A147324
- a(n) = (5*n-7)*(n-1).at n=45A147874
- a(n) = 12*n^2 + 22*n + 11.at n=28A154106
- A triangle sequence from a sum: t0(n,m)=(2 + PartitionsQ[n] - PartitionsQ[m] - PartitionsQ[n - m]); t1(n,k)=Sum[(-1)^j *t0[n + 1, j](k + 1 - j)^n, {j, 0, k + 1}]; t(n,m)=If[n == 0, 1, t1(n, k) + t1(n, n - k)].at n=23A156130
- A triangle sequence from a sum: t0(n,m)=(2 + PartitionsQ[n] - PartitionsQ[m] - PartitionsQ[n - m]); t1(n,k)=Sum[(-1)^j *t0[n + 1, j](k + 1 - j)^n, {j, 0, k + 1}]; t(n,m)=If[n == 0, 1, t1(n, k) + t1(n, n - k)].at n=25A156130
- Lesser of twin primes, written in base 6.at n=45A166479
- Number of nondecreasing arrangements of 6 numbers x(i) in -(n+4)..(n+4) with the sum of sign(x(i))*2^|x(i)| zero.at n=28A187990
- Number of n X 2 0..2 arrays with no element equal to one plus the sum of elements to its left or one plus the sum of the sum of elements above it, modulo 3.at n=38A238806
- Numbers x whose digits can be permuted to produce a multiple of x.at n=7A245680
- 25-gonal numbers: a(n) = n*(23*n-21)/2.at n=30A255184
- Relative of Hofstadter Q-sequence.at n=39A283891
- Relative of Hofstadter Q-sequence.at n=38A283892
- O.g.f. A(x) satisfies: A(x) = 1 + Integral (x*A(x)^4)' / (x*A(x))' dx.at n=8A302705