10088
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 20580
- Proper Divisor Sum (Aliquot Sum)
- 10492
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4608
- Möbius Function
- 0
- Radical
- 2522
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 3
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
- 42
- 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
- a(n) = 6*n^2 + 2 for n > 0, a(0)=1.at n=41A005897
- Coordination sequence for NiAs(1), As position.at n=41A009943
- [ max{S(n,m)}/max{C(n-1,m-1)} ] for m = 1,2,...,n; S(n,m) are Stirling numbers of second kind.at n=12A024425
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 49.at n=35A031547
- Numbers k such that 147*2^k+1 is prime.at n=29A032423
- Numbers ending with '8' that are the difference of two positive cubes.at n=35A038863
- Number of n X n 0..7 matrices with all row and column sums equal.at n=3A067215
- a(n) = (1/24)*(n+1)*(3*n^3+59*n^2+358*n+648).at n=13A090949
- Numbers k such that (2^k + 1)^2 - 2 = 4^k + 2^(k+1) - 1 is prime.at n=36A091513
- Index of first occurrence of n in A091853, or 0 if no such number exists.at n=26A091854
- Coefficients in asymptotic expansion of sequence A052129.at n=7A116603
- Number of partitions of n with unique smallest part and unique largest part.at n=42A117298
- Exactly one of (2^n-1)^2-2 and (2^n+1)^2-2 is prime.at n=51A173888
- First terms "a" of quadruples a>b>c>d>0 with six square pairwise sums.at n=24A175534
- A symmetrical triangle of polynomial coefficients:p(x,n)=If[n == 0, 1, (1 - x)^(n + 1)*Sum[((2*k + 1)^n + (k + 1)^n + k^n)*x^k, {k, 0, Infinity}]/2].at n=46A177984
- a(1) = 2, a(n) = (n-th-even n^3) - (sum of previous terms).at n=21A181509
- Number of (n+1)X(n+1) 0..7 arrays with every 2X2 subblock summing to 14.at n=1A183673
- Number of (n+1) X 3 0..7 arrays with every 2 X 2 subblock summing to 14.at n=1A183675
- T(n,k)=Number of (n+1)X(k+1) 0..7 arrays with every 2X2 subblock summing to 14.at n=4A183680
- Number of 3-step self-avoiding walks on an n X n square summed over all starting positions.at n=29A188148