3510
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 10080
- Proper Divisor Sum (Aliquot Sum)
- 6570
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 864
- Möbius Function
- 0
- Radical
- 390
- Omega Function (Ω)
- 6
- 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
- 43
- 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
- Fermat coefficients.at n=11A000970
- 10-gonal (or decagonal) numbers: a(n) = n*(4*n-3).at n=30A001107
- Expansion of a modular function for Gamma_0(15).at n=14A002510
- High temperature series for spin-1/2 Ising magnetic susceptibility on 3-dimensional simple cubic lattice.at n=5A002913
- a(2*n) = floor( 17*2^n/14 ), a(2*n+1) = floor( 12*2^n/7 ).at n=23A003143
- "Magic" integers: a(n+1) is the smallest integer m such that there is no overlap between the sets {m, m-a(i), m+a(i): 1 <= i <= n} and {a(i), a(i)-a(j), a(i)+a(j): 1 <= j < i <= n}.at n=35A004210
- Number of conjugacy classes of compact Cartan subgroups in Sp_{2n}(F), where p>n and the p-adic field F contains all r-th roots of unity for all r <= 2n.at n=4A007793
- Coordination sequence T7 for Zeolite Code MEL.at n=38A008156
- Molien series for cyclic group of order 5.at n=23A008646
- Coordination sequence T5 for Zeolite Code RUT.at n=39A009901
- a(n) = floor(C(n,4)/5).at n=27A011795
- a(n) = floor( n*(n-1)*(n-2)/5 ).at n=27A011887
- sec(arctan(x)+arcsin(x))=1+4/2!*x^2+72/4!*x^4+3510/6!*x^6+315000/8!*x^8...at n=3A012995
- Number of loopless multigraphs with 7 nodes and n edges.at n=9A014397
- a(n) = T(n,n-3), where T is the array in A026374.at n=17A026382
- Triangle of "Harmonic Coefficients" T(n,k), read by rows: (Sum_{i=1..n} T(n,i) * k^i) * k! / ((n+k)! * n!) = (Sum_{i=1..k} (1/i-1/(i+n)) = n * (Sum_{i=1..k} 1/(i*(i+n)))).at n=13A027858
- a(n) = least k such that 1+2+...+k >= E{1,2,...,n}, where E is the 3rd elementary symmetric function.at n=23A027917
- Even 10-gonal (or decagonal) numbers.at n=15A028994
- Base-2 digits are, in order, the first n terms of the periodic sequence with initial period [1,1,0].at n=12A033129
- Coordination sequence T2 for Zeolite Code SBS.at n=47A033609