10220
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 5
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 24864
- Proper Divisor Sum (Aliquot Sum)
- 14644
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3456
- Möbius Function
- 0
- Radical
- 5110
- 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
- 60
- 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
- Sum of digits in n-th term of A006711.at n=30A022480
- a(n) = 1*t(n) + 2*t(n-1) + ... + k*t(n+1-k), where k=floor((n+1)/2) and t is A000201 (lower Wythoff sequence).at n=40A023866
- T(n, 2n-8), T given by A027926.at n=11A027931
- a(n) = T(2n+1, n+4), T given by A027935.at n=4A027944
- Greatest number in row n of array T given by A027935.at n=15A027945
- Greatest number in row n of array T given by A027926.at n=15A027988
- Composites whose sum of digits equals number of its prime factors, with multiplicity.at n=41A050689
- Smallest number such that the largest set of positive real numbers whose sum and product equals the number falls short by n.at n=9A052508
- Partial sums of A053295.at n=8A053296
- Number of collinear triples in a 3 X n rectangular grid.at n=28A057566
- Number of homeomorphically irreducible general graphs on 5 labeled nodes and with n edges.at n=6A060580
- A064637 converted to factorial base.at n=8A064477
- Multiples of 5 with digit sum 5.at n=24A069540
- A transform of C(n,2).at n=8A082149
- Triangle read by rows: n-th row contains the first n n-digit multiples of n with digit sum n. If there are fewer than n such numbers, the rest of the row is filled with 0's.at n=12A084029
- Arithmetic means of the rows of triangle A084029.at n=4A084031
- Sequence A085188 shown in factorial base. (The longest prefix which can be shown with digits < 10.)at n=31A085187
- a(n) = smallest k such that the Reverse and Add! trajectory of A063048(n) joins the trajectory of k.at n=23A089493
- Fourth column (m=5) of array A090452.at n=6A090454
- Average of 4 primes where the integer Schwarzian derivative is zero.at n=11A094903