10754
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
- 8
- Divisor Sum
- 17040
- Proper Divisor Sum (Aliquot Sum)
- 6286
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5076
- Möbius Function
- -1
- Radical
- 10754
- Omega Function (Ω)
- 3
- 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
- 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
- Number of Baxter permutations of length n (also called Baxter numbers).at n=8A001181
- Coordination sequence for hexagonal close-packing.at n=32A007899
- Coordination sequence for alpha-Nd, Position Nd1.at n=32A009948
- a(0) = 1, a(n) = 42*n^2 + 2 for n>0.at n=16A010023
- Graham-Sloane-type lower bound on the size of a ternary (n,3,4) constant-weight code.at n=30A030504
- Numbers whose base-4 representation contains exactly three 0's and four 2's.at n=16A045056
- Starting from generation 6 add previous and next term yielding generation 7.at n=38A048453
- Numbers k such that numerator(Bernoulli(2*k)/(2*k)) is different from numerator(Bernoulli(2*k)/(2*k*(2*k-1))).at n=41A090495
- Number of winning paths of length n+1 across an n X n Hex board.at n=7A096367
- a(1)= 10000, a(2)= 10000; for n>2, a(n)= ( a(n-2) + a(n-1) ) (mod 20000).at n=15A096973
- Triangle read by rows: row n (n >= 0) consists of the elements g(i, n-i) (0 <= i <= n), where g(r,s) = 1 + Sum_{k=1..r} Product_{i=0..k-1} binomial(r+s-1, s+i) / binomial(r+s-1, i).at n=62A116925
- Distinct values in A119842, in order of appearance.at n=22A119846
- Site series for second parallel moment of 4.8 (bathroom tile) lattice.at n=16A120559
- A106486-encodings of combinatorial games with value -1.at n=28A125993
- A 'Morgan Voyce' transform of the Bell numbers A000110.at n=7A155866
- Denominators of r-Egyptian fraction expansion for (1/2)^(1/3), where r(k) = 1/k!.at n=5A270527
- Sum of the largest parts t of the partitions of n into 4 parts q,r,s,t such that 1 <= q <= r <= s <= t and q + r + s > t.at n=50A340249
- Numbers that are the sum of nine fourth powers in eight or more ways.at n=34A345592
- Numbers that are the sum of nine fourth powers in exactly eight ways.at n=30A345850
- Triangle read by rows: T(n,k) (1 <= k <= n) = number of n X k Baxter matrices in which all row sums are 1.at n=35A347678