10758
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 23616
- Proper Divisor Sum (Aliquot Sum)
- 12858
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3240
- Möbius Function
- 1
- Radical
- 10758
- Omega Function (Ω)
- 4
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 73
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 91 ).at n=34A063364
- Partial sums of A084570.at n=21A084569
- Records in A104883.at n=20A104884
- Number of binary strings of length n with equal numbers of 0010 and 0110 substrings.at n=15A164168
- Number of compositions of n where differences between neighboring parts are in {-1,1}.at n=43A173258
- Triangle read by rows: T(n,k) is the number of ordered trees with n edges and having k vertices of outdegree 2 that have (two) leaves as their (two) children.at n=33A178519
- Triangle, read by rows, where row n equals the coefficients of y^k in R_{n-1}(y+y^2) for k=3..n, where R_n(y) is the n-th row polynomial in y for n>=3 with R_3(y)=y^3.at n=25A187120
- A diagonal of triangle A187120.at n=4A187122
- Number of nX4 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 3,3,0,2,2 for x=0,1,2,3,4.at n=5A197453
- Number of n X 6 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 3,3,0,2,2 for x=0,1,2,3,4.at n=3A197456
- T(n,k)=Number of nXk 0..4 arrays with each element x equal to the number of its horizontal and vertical neighbors equal to 3,3,0,2,2 for x=0,1,2,3,4.at n=39A197457
- T(n,k)=Number of nXk 0..4 arrays with each element x equal to the number of its horizontal and vertical neighbors equal to 3,3,0,2,2 for x=0,1,2,3,4.at n=41A197457
- G.f.: exp( Sum_{n>=1} [Sum_{k=0..2*n} C(2*n,k)^2 *x^k] *x^n/n ).at n=8A197601
- Number of distinct values of the sum of i^2 over 8 realizations of i in 0..n.at n=37A225275
- Number of partitions p of n such that the number of distinct parts is a part or max(p) - min(p) is a part.at n=37A241391
- Number of (n+2) X (1+2) 0..1 arrays with each 3 X 3 subblock having clockwise perimeter pattern 00000000 00000001 or 00010001.at n=8A260200
- T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000000 00000001 or 00010001.at n=36A260207
- Poincaré series for hyperbolic reflection group with Coxeter diagram shown in Comments.at n=16A265050
- Number of indecomposable permutations avoiding the pattern 2143.at n=7A284716
- Numbers k such that Bernoulli number B_{k} has denominator 64722.at n=9A295592