10032
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
- 40
- Divisor Sum
- 29760
- Proper Divisor Sum (Aliquot Sum)
- 19728
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2880
- Möbius Function
- 0
- Radical
- 1254
- Omega Function (Ω)
- 7
- 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
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 135
- 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 4 (written in base 4).at n=12A023059
- Positive numbers k such that k and 3*k are anagrams in base 5 (written in base 5).at n=2A023062
- Expansion of (theta_3(z)*theta_3(15z) + theta_2(z)*theta_2(15z))^4.at n=20A028628
- "DHK[ 5 ]" (bracelet, identity, unlabeled, 5 parts) transform of 1,1,1,1,...at n=34A032246
- Number of partitions of n with equal nonzero number of parts congruent to each of 0 and 1 (mod 5).at n=48A035562
- Positive numbers having the same set of digits in base 4 and base 10.at n=36A037428
- Positive numbers having the same set of digits in base 5 and base 10.at n=40A037433
- Expansion of 1/((1-x)*(1-x^2))^4.at n=13A038164
- Numbers k such that phi(k) is equal to the product of (the sum of prime factors and the sum of exponents) of k-1.at n=14A039774
- Partial sums of A051880.at n=7A050406
- a(n) = A053061(n)/n.at n=31A061082
- First member of the Diophantine pair (m,k) that satisfies 7*(m^2+m) = k^2+k; a(n)=m.at n=7A077398
- a(0) = 2; a(n) = smallest multiple of a(n-1), not a multiple of 10, that contains all the digits of a(n-1).at n=3A077696
- a(1) =2, a(n) = smallest multiple of a(n-1) (not equal to 10^k*a(n-1)) obtained by inserting digits anywhere in a(n-1).at n=3A080487
- Numbers that can be expressed as the difference of the squares of primes in just three distinct ways.at n=36A090782
- Numbers n such that primitive solutions for 1/n^2 = 1/x^2 + 1/y^2 exist.at n=30A094807
- Floor of area of triangle with consecutive prime sides.at n=34A096377
- Number of cubes that can be formed from the points of a cubical grid of n X n X n points.at n=12A098928
- Number of inequivalent binary sequences of length n, where two sequences are said to be equivalent if they have the same set of phrases in their Ziv-Lempel encodings (the phrases can appear in a different order in the two sequences).at n=24A106182
- Each digit of a(n) appears in a(n+1) and a(n+1) > a(n) is minimal.at n=32A107411