10440
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 48
- Divisor Sum
- 35100
- Proper Divisor Sum (Aliquot Sum)
- 24660
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2688
- Möbius Function
- 0
- Radical
- 870
- Omega Function (Ω)
- 7
- 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
- yes
- 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
- 55
- 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) = (n+2)!/4 + n!/2.at n=6A006595
- Coordination sequence for 4-dimensional primitive di-isohexagonal orthogonal lattice.at n=12A008530
- Expansion of x/(1 - 5*x - 11*x^2).at n=6A015547
- 2nd elementary symmetric function of the first n+1 positive integers congruent to 2 mod 3.at n=8A024391
- Expansion of e.g.f. sinh(exp(x)-1).at n=9A024429
- Expansion of (theta_3(z^4)^3 + theta_2(z^4)^3)^3.at n=19A028696
- a(n) = binomial(Fibonacci(n) + 1, 2).at n=12A033192
- a(n) = 2*n*(4*n + 1).at n=36A033585
- a(n) = n^2*(n^2 + 1)/2.at n=12A037270
- Numerators of continued fraction convergents to sqrt(639).at n=7A042226
- (-1)-sigma super perfect numbers: (-1)sigma((-1)sigma(x))=2*x, where if x=Product p(i)^r(i) then (-1)sigma(x)=Product (-1+Sum p(i)^s(i), s(i)=1 to r(i)); (-1)sigma(1)=1.at n=3A051153
- McKay-Thompson series of class 35B for Monster.at n=40A058641
- Triangle T(n,k) arising from enumeration of permutations with ordered orbits, read by rows (1<=k<=n).at n=29A059418
- a(n) = 12*n*(n-1).at n=30A064200
- 9 times octagonal numbers: a(n) = 9*n*(3*n-2).at n=20A064201
- Triangular numbers whose index is a multiple of the sum of their digits.at n=28A067520
- Smallest triangular number which is a multiple (>1) of the n-th triangular number.at n=28A068084
- First differences of A069475, successive differences of (n+1)^6-n^6.at n=12A069476
- Triangular numbers of the form 10*k.at n=29A069498
- Triangular numbers which are the sum of two squares.at n=23A073613