10020
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 3
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 28224
- Proper Divisor Sum (Aliquot Sum)
- 18204
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2656
- Möbius Function
- 0
- Radical
- 5010
- 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
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 91
- 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
- n written in base where place values are positive squares.at n=32A007961
- Number of 5-tuples of different integers from [ 1,n ] with no common factors among pairs.at n=30A015698
- Positive numbers k such that k and 2*k are anagrams in base 4 (written in base 4).at n=11A023059
- Least term in period of continued fraction for sqrt(n) is 10.at n=20A031434
- Positive numbers having the same set of digits in base 3 and base 10.at n=33A037422
- Numbers having three 0's in base 10.at n=19A043491
- Numbers whose sum of digits is 3.at n=22A052217
- Smallest number with persistence n for the sort-and-subtract-sequence.at n=16A065641
- Sum of all entries in character table of the symmetric group S_n.at n=9A082733
- Number of real {0,1} n X n matrices having determinant=1.at n=4A086264
- Triangle T(n,k) read by rows, where T(n,k) = number of times the determinant of a real n X n (0,1)-matrix takes the value k, for n >= 0, 0 <= k <= A003432(n).at n=10A089478
- a(n) = number of (0,1) matrices of size n X n whose determinants are k, where -L <= k <= +L and L = A003432(n).at n=9A094813
- a(n) = number of (0,1) matrices of size n X n whose determinants are k, where -L <= k <= +L and L = A003432(n).at n=11A094813
- a(n) = 87 written in base n.at n=2A095566
- a(n) = 87 written in base 10 - n.at n=7A095567
- a(n) = exp(-1) * (n+1)! * Sum_{i>j>=0} j^n/i!.at n=5A102244
- Numbers written in an alternating binary-then-ternary base.at n=40A109827
- Members of A016052 whose digit sum is three.at n=12A119507
- Expansion of f(x, -x^4) / phi(-x^2) in powers of x where f(, ) and phi() are Ramanujan theta functions.at n=49A122135
- Poincaré series [or Poincare series] P(C_{5,2}(0); t).at n=15A124638