10212
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 6
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 25536
- Proper Divisor Sum (Aliquot Sum)
- 15324
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3168
- Möbius Function
- 0
- Radical
- 5106
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 4
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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 179
- 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 of each other in base 3 (k is written here in base 3).at n=4A023058
- a(n) = A047881(n) / 2.at n=37A047882
- Consider all Pythagorean triples (Y-7,Y,Z); sequence gives Y values.at n=14A076295
- Sum of divisors of numbers containing in their decimal representation only the digits 0 and 1.at n=16A077810
- Least common multiple of prime(n+1)-1 and prime(n)-1.at n=33A083554
- a(n) = smallest k such that the Reverse and Add! trajectory of A063048(n) joins the trajectory of k.at n=25A089493
- Number of 6k+1 primes (A002476) in range ]2^n,2^(n+1)].at n=17A095015
- a(n) = 104 written in base n.at n=2A095598
- a(n) = 104 written in base 14 - n.at n=11A095599
- Numbers n for which there are exactly five k such that n = k + (product of nonzero digits of k).at n=30A096926
- Number of points of self-intersection of the path of a billiard ball traveling at a 45-degree angle on a prime(n) X prime(n+1) billiard table. Also equal to 1/2 the number of the lattice points lying within a prime(n) X prime(n+1) rectangle.at n=33A099407
- Numbers k for which 14*k+1, 14*k+5, 14*k+11 and 14*k+13 are primes.at n=36A123987
- Expansion of phi(q) * phi(-q^18) / (phi(-q^3) * phi(-q^6)) in powers of q where phi() is a Ramanujan theta function.at n=45A139213
- First differences of A151776.at n=31A151777
- G.f.: A(x) = F(x*G(x)^2)^2 where F(x) = G(x/F(x)) = 1 + x*F(x)^2 is the g.f. of A000108 (Catalan) and G(x) = F(x*G(x)) = 1 + x*G(x)^3 is the g.f. of A001764.at n=6A153297
- Number of binary strings of length n with no substrings equal to 0001 0011 or 1101.at n=16A164460
- Triangle |S_{n,N}| read by rows, the number of permutations of [1..n] that are realized by a shift on N symbols.at n=19A165325
- a(n) = 3*n*(5*n-1)/2.at n=36A167469
- Primes in lunar arithmetic in base 3 written in base 3.at n=36A170806
- Number of nondecreasing arrangements of n+2 numbers in 0..8 with the last equal to 8 and each after the second equal to the sum of one or two of the preceding three.at n=28A190040